Classification And Approximation Of Periodic Functions

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Classification and Approximation of Periodic Functions

Author : A.I. Stepanets
Publisher : Springer Science & Business Media
ISBN 13 : 9401101159
Total Pages : 373 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Classification and Approximation of Periodic Functions by : A.I. Stepanets

Download or read book Classification and Approximation of Periodic Functions written by A.I. Stepanets and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph proposes a new classification of periodic functions, based on the concept of generalized derivative, defined by introducing multiplicators and shifts of the argument into the Fourier series of the original function. This approach permits the classification of a wide range of functions, including those of which the Fourier series may diverge in integral metric, smooth functions, and infinitely differentiable functions, including analytical and entire ones. These newly introduced classes are then investigated using the traditional problems of the theory of approximation. The results thus obtained offer a new way to look at classical statements for the approximation of differentiable functions, and suggest possibilities to discover new effects. Audience: valuable reading for experts in the field of mathematical analysis and researchers and graduate students interested in the applications of the theory of approximation and Fourier series.

Methods of Approximation Theory

Author : Alexander I. Stepanets
Publisher : Walter de Gruyter
ISBN 13 : 3110195283
Total Pages : 941 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Methods of Approximation Theory by : Alexander I. Stepanets

Download or read book Methods of Approximation Theory written by Alexander I. Stepanets and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development.

Fourier Analysis and Approximation of Functions

Author : Roald M. Trigub
Publisher : Springer Science & Business Media
ISBN 13 : 1402028768
Total Pages : 595 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Fourier Analysis and Approximation of Functions by : Roald M. Trigub

Download or read book Fourier Analysis and Approximation of Functions written by Roald M. Trigub and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.

Trigonometric Sums and Their Applications

Author : Andrei Raigorodskii
Publisher : Springer Nature
ISBN 13 : 3030379043
Total Pages : 313 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Trigonometric Sums and Their Applications by : Andrei Raigorodskii

Download or read book Trigonometric Sums and Their Applications written by Andrei Raigorodskii and published by Springer Nature. This book was released on 2020-03-11 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.

Elements of the General Theory of Optimal Algorithms

Author : Ivan V. Sergienko
Publisher : Springer Nature
ISBN 13 : 3030909085
Total Pages : 387 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Elements of the General Theory of Optimal Algorithms by : Ivan V. Sergienko

Download or read book Elements of the General Theory of Optimal Algorithms written by Ivan V. Sergienko and published by Springer Nature. This book was released on 2022-01-11 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics.

The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations

Author : A.J. Jerri
Publisher : Springer Science & Business Media
ISBN 13 : 1475728476
Total Pages : 357 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations by : A.J. Jerri

Download or read book The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations written by A.J. Jerri and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the first attempt at a unified picture for the pres ence of the Gibbs (or Gibbs-Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out. The analysis and filtering cover the familiar Gibbs phenomenon in Fourier series and integral representations of functions with jump discontinuities. In ad dition it will include other representations, such as general orthogonal series expansions, general integral transforms, splines approximation, and continuous as well as discrete wavelet approximations. The mate rial in this book is presented in a manner accessible to upperclassmen and graduate students in science and engineering, as well as researchers who may face the Gibbs phenomenon in the varied applications that in volve the Fourier and the other approximations of functions with jump discontinuities. Those with more advanced backgrounds in analysis will find basic material, results, and motivations from which they can begin to develop deeper and more general results. We must emphasize that the aim of this book (the first on the sUbject): to satisfy such a diverse audience, is quite difficult. In particular, our detailed derivations and their illustrations for an introductory book may very well sound repeti tive to the experts in the field who are expecting a research monograph. To answer the concern of the researchers, we can only hope that this book will prove helpful as a basic reference for their research papers.

Translations. Ser. 2, 159. Proceedings of the St. Petersburg Mathematical Society. - 2

Author : United States. Office of Naval Research
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895931
Total Pages : 238 pages
Book Rating : 4.8/5 (959 download)

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Book Synopsis Translations. Ser. 2, 159. Proceedings of the St. Petersburg Mathematical Society. - 2 by : United States. Office of Naval Research

Download or read book Translations. Ser. 2, 159. Proceedings of the St. Petersburg Mathematical Society. - 2 written by United States. Office of Naval Research and published by American Mathematical Soc.. This book was released on 1994-11-22 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers on a wide range of topics, including diophantine equations, algebraic number theory, ring theory, theory of functions of a real variable, partial differential equations, approximation of functions, differential geometry, computing theory, and statistical mechanics. The last three papers present historical perspectives on mathematics in St. Petersburg.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512795
Total Pages : 639 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Encyclopaedia of Mathematics

Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937978
Total Pages : 927 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Теорiя наближення функцiй та її застосування

Author :
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Теорiя наближення функцiй та її застосування by :

Download or read book Теорiя наближення функцiй та її застосування written by and published by . This book was released on 2000 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modelling, Applied Analysis and Computation

Author : Jagdev Singh
Publisher : Springer Nature
ISBN 13 : 9811396086
Total Pages : 320 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Mathematical Modelling, Applied Analysis and Computation by : Jagdev Singh

Download or read book Mathematical Modelling, Applied Analysis and Computation written by Jagdev Singh and published by Springer Nature. This book was released on 2019-08-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.

Orthogonal Series and Approximation of Functions

Author : Sergej Michajlovic Nikol'skij
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830918
Total Pages : 292 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Orthogonal Series and Approximation of Functions by : Sergej Michajlovic Nikol'skij

Download or read book Orthogonal Series and Approximation of Functions written by Sergej Michajlovic Nikol'skij and published by American Mathematical Soc.. This book was released on 1985-12-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Collection of Papers from the All-Union School on Function Theory

Author : S. B. Stechkin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831366
Total Pages : 252 pages
Book Rating : 4.8/5 (313 download)

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Book Synopsis Collection of Papers from the All-Union School on Function Theory by : S. B. Stechkin

Download or read book Collection of Papers from the All-Union School on Function Theory written by S. B. Stechkin and published by American Mathematical Soc.. This book was released on 1991 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection consists of ten papers presented at the All-Union School on Function Theory, held in Dushanbe in August 1986, under the editor's guidance. The book encompasses a wide range of current directions in the metric theory of functions, the theory of approximation of functions, and related parts of mathematical analysis. The papers concern the following topics: extremal properties of functions, representation of functions by series, convergence of multiple Fourier series, approximation of functions by trigonometric polymonials in Lp-metrics, widths of classes of functions, approximation of functions by Fourier sums in systems of characters of zero-dimensional compact commutative groups, bilinear approximations of functions, the study of Tchebycheff sets in normed linear spaces, and spline approximation of functions of several variables. Among the results obtained are: new criteria for convexity of Tchebycheff sets in terms of continuity properties of the metric projection operator; conditions on the character of integrability of a periodic function of several variables under which its Fourier series converges to it in measure; a characterization of representation systems for symmetric spaces in which there are no nonzero continuous functionals.

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

Author : Dario A. Bini
Publisher : Birkhäuser
ISBN 13 : 3319491822
Total Pages : 757 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics by : Dario A. Bini

Download or read book Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics written by Dario A. Bini and published by Birkhäuser. This book was released on 2017-03-21 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.

Approximation and Computation in Science and Engineering

Author : Nicholas J. Daras
Publisher : Springer Nature
ISBN 13 : 3030841227
Total Pages : 934 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Approximation and Computation in Science and Engineering by : Nicholas J. Daras

Download or read book Approximation and Computation in Science and Engineering written by Nicholas J. Daras and published by Springer Nature. This book was released on 2022-05-05 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. Individual contributions are devoted to topics of approximation theory, functional equations and inequalities, fixed point theory, numerical analysis, theory of wavelets, convex analysis, topology, operator theory, differential operators, fractional integral operators, integro-differential equations, ternary algebras, super and hyper relators, variational analysis, discrete mathematics, cryptography, and a variety of applications in interdisciplinary topics. Several of these domains have a strong connection with both theories and problems of linear and nonlinear optimization. The combination of results from various domains provides the reader with a solid, state-of-the-art interdisciplinary reference to theory and problems. Some of the works provide guidelines for further research and proposals for new directions and open problems with relevant discussions.

Semiconductor Physics

Author : Karl W. Böer
Publisher : Springer Nature
ISBN 13 : 3031182863
Total Pages : 1408 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Semiconductor Physics by : Karl W. Böer

Download or read book Semiconductor Physics written by Karl W. Böer and published by Springer Nature. This book was released on 2023-02-02 with total page 1408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook gives a complete and detailed survey of the field of semiconductor physics. It addresses every fundamental principle, the most important research topics and results, as well as conventional and emerging new areas of application. Additionally it provides all essential reference material on crystalline bulk, low-dimensional, and amorphous semiconductors, including valuable data on their optical, transport, and dynamic properties. This updated and extended second edition includes essential coverage of rapidly advancing areas in semiconductor physics, such as topological insulators, quantum optics, magnetic nanostructures and spintronic systems. Richly illustrated and authored by a duo of internationally acclaimed experts in solar energy and semiconductor physics, this handbook delivers in-depth treatment of the field, reflecting a combined experience spanning several decades as both researchers and educators. Offering a unique perspective on many issues, Semiconductor Physics is an invaluable reference for physicists, materials scientists and engineers throughout academia and industry.

Design for Maintainability

Author : Louis J. Gullo
Publisher : John Wiley & Sons
ISBN 13 : 1119578418
Total Pages : 400 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Design for Maintainability by : Louis J. Gullo

Download or read book Design for Maintainability written by Louis J. Gullo and published by John Wiley & Sons. This book was released on 2021-03-26 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to design for optimum maintenance capabilities and minimize the repair time Design for Maintainability offers engineers a wide range of tools and techniques for incorporating maintainability into the design process for complex systems. With contributions from noted experts on the topic, the book explains how to design for optimum maintenance capabilities while simultaneously minimizing the time to repair equipment. The book contains a wealth of examples and the most up-to-date maintainability design practices that have proven to result in better system readiness, shorter downtimes, and substantial cost savings over the entire system life cycle, thereby, decreasing the Total Cost of Ownership. Design for Maintainability offers a wealth of design practices not covered in typical engineering books, thus allowing readers to think outside the box when developing maintainability design requirements. The book's principles and practices can help engineers to dramatically improve their ability to compete in global markets and gain widespread customer satisfaction. This important book: Offers a complete overview of maintainability engineering as a system engineering discipline Includes contributions from authors who are recognized leaders in the field Contains real-life design examples, both good and bad, from various industries Presents realistic illustrations of good maintainability design principles Provides discussion of the interrelationships between maintainability with other related disciplines Explores trending topics in technologies Written for design and logistics engineers and managers, Design for Maintainability is a comprehensive resource containing the most reliable and innovative techniques for improving maintainability when designing a system or product.