Frontiers In Interpolation And Approximation

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Frontiers in Interpolation and Approximation

Author : N. K. Govil
Publisher : CRC Press
ISBN 13 : 1420011383
Total Pages : 476 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Frontiers in Interpolation and Approximation by : N. K. Govil

Download or read book Frontiers in Interpolation and Approximation written by N. K. Govil and published by CRC Press. This book was released on 2006-07-20 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.

Frontiers In Approximation Theory

Author : George A Anastassiou
Publisher : World Scientific
ISBN 13 : 9814696110
Total Pages : 229 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Frontiers In Approximation Theory by : George A Anastassiou

Download or read book Frontiers In Approximation Theory written by George A Anastassiou and published by World Scientific. This book was released on 2015-06-23 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss-Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method.The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries.

Rational Approximation and Interpolation

Author : P.R. Graves-Morris
Publisher : Springer
ISBN 13 : 3540391134
Total Pages : 541 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Rational Approximation and Interpolation by : P.R. Graves-Morris

Download or read book Rational Approximation and Interpolation written by P.R. Graves-Morris and published by Springer. This book was released on 2006-11-14 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation and Extrapolation Optimal Designs V1

Author : Giorgio Celant
Publisher : John Wiley & Sons
ISBN 13 : 1119292298
Total Pages : 254 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs V1 by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs V1 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2016-03-31 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.

Interpolation and Approximation by Rational Functions in the Complex Domain

Author : J. L. Walsh
Publisher : American Mathematical Soc.
ISBN 13 : 0821810200
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Interpolation and Approximation by Rational Functions in the Complex Domain by : J. L. Walsh

Download or read book Interpolation and Approximation by Rational Functions in the Complex Domain written by J. L. Walsh and published by American Mathematical Soc.. This book was released on 1935-12-31 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.

Birkhoff Interpolation

Author : G. G. Lorentz
Publisher : Cambridge University Press
ISBN 13 : 9780521302395
Total Pages : 308 pages
Book Rating : 4.3/5 (23 download)

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Book Synopsis Birkhoff Interpolation by : G. G. Lorentz

Download or read book Birkhoff Interpolation written by G. G. Lorentz and published by Cambridge University Press. This book was released on 1984-12-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference book provides the main definitions, theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an article by G. G. Lorentz that discusses some of the important developments in approximation and interpolation in the last twenty years. It presents all the basic material known at the present time in a unified manner. Topics discussed include; applications of Birkhoff interpolation to approximation theory, quadrature formulas and Chebyshev systems; lacunary interpolation at special knots and an introduction to the theory of Birkhoff interpolation by splines.

Algebraic Approximation: A Guide to Past and Current Solutions

Author : Jorge Bustamante
Publisher : Springer Science & Business Media
ISBN 13 : 3034801947
Total Pages : 212 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Algebraic Approximation: A Guide to Past and Current Solutions by : Jorge Bustamante

Download or read book Algebraic Approximation: A Guide to Past and Current Solutions written by Jorge Bustamante and published by Springer Science & Business Media. This book was released on 2011-11-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.

Interpolation and Approximation

Author : Philip J. Davis
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Interpolation and Approximation by : Philip J. Davis

Download or read book Interpolation and Approximation written by Philip J. Davis and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Approximation Theory

Author : Hrushikesh Narhar Mhaskar
Publisher : CRC Press
ISBN 13 : 9780849309397
Total Pages : 580 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Fundamentals of Approximation Theory by : Hrushikesh Narhar Mhaskar

Download or read book Fundamentals of Approximation Theory written by Hrushikesh Narhar Mhaskar and published by CRC Press. This book was released on 2000 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of approximation theory has become so vast that it intersects with every other branch of analysis and plays an increasingly important role in applications in the applied sciences and engineering. Fundamentals of Approximation Theory presents a systematic, in-depth treatment of some basic topics in approximation theory designed to emphasize the rich connections of the subject with other areas of study. With an approach that moves smoothly from the very concrete to more and more abstract levels, this text provides an outstanding blend of classical and abstract topics. The first five chapters present the core of information that readers need to begin research in this domain. The final three chapters the authors devote to special topics-splined functions, orthogonal polynomials, and best approximation in normed linear spaces- that illustrate how the core material applies in other contexts and expose readers to the use of complex analytic methods in approximation theory. Each chapter contains problems of varying difficulty, including some drawn from contemporary research. Perfect for an introductory graduate-level class, Fundamentals of Approximation Theory also contains enough advanced material to serve more specialized courses at the doctoral level and to interest scientists and engineers.

Topics in Multivariate Approximation and Interpolation

Author : Kurt Jetter
Publisher : Elsevier
ISBN 13 : 0080462049
Total Pages : 357 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Topics in Multivariate Approximation and Interpolation by : Kurt Jetter

Download or read book Topics in Multivariate Approximation and Interpolation written by Kurt Jetter and published by Elsevier. This book was released on 2005-11-15 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry. A collection of articles of highest scientific standard An excellent introduction and overview of recent topics from multivariate approximation A valuable source of references for specialists in the field A representation of the state-of-the-art in selected areas of multivariate approximation A rigorous mathematical introduction to special topics of interdisciplinary research

On Some Problems of Interpolation and Approximation Theory

Author : John Burkett
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (292 download)

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Book Synopsis On Some Problems of Interpolation and Approximation Theory by : John Burkett

Download or read book On Some Problems of Interpolation and Approximation Theory written by John Burkett and published by . This book was released on 1992 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorics of Spreads and Parallelisms

Author : Norman Johnson
Publisher : CRC Press
ISBN 13 : 1439819475
Total Pages : 674 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Combinatorics of Spreads and Parallelisms by : Norman Johnson

Download or read book Combinatorics of Spreads and Parallelisms written by Norman Johnson and published by CRC Press. This book was released on 2010-06-03 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics of Spreads and Parallelisms covers all known finite and infinite parallelisms as well as the planes comprising them. It also presents a complete analysis of general spreads and partitions of vector spaces that provide groups enabling the construction of subgeometry partitions of projective spaces.The book describes general partitions

Frontiers in Industrial and Applied Mathematics

Author : Rajesh Kumar Sharma
Publisher : Springer Nature
ISBN 13 : 9811972729
Total Pages : 659 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Frontiers in Industrial and Applied Mathematics by : Rajesh Kumar Sharma

Download or read book Frontiers in Industrial and Applied Mathematics written by Rajesh Kumar Sharma and published by Springer Nature. This book was released on 2023-02-02 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21–22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates numerical simulation of scientific problems and the state-of-the-art research in industrial and applied mathematics, including various computational and modeling techniques with case studies and concrete examples. Graduate students and researchers, who are interested in real applications of mathematics in the areas of computational and theoretical fluid dynamics, solid mechanics, optimization and operations research, numerical analysis, bio-mathematics, fuzzy, control and systems theory, dynamical systems and nonlinear analysis, algebra and approximation theory, will find the book useful.

Frontiers of Fractal Analysis

Author : Santo Banerjee
Publisher : CRC Press
ISBN 13 : 1000625877
Total Pages : 183 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Frontiers of Fractal Analysis by : Santo Banerjee

Download or read book Frontiers of Fractal Analysis written by Santo Banerjee and published by CRC Press. This book was released on 2022-07-07 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

Weighted Polynomial Approximation and Numerical Methods for Integral Equations

Author : Peter Junghanns
Publisher : Springer Nature
ISBN 13 : 303077497X
Total Pages : 662 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Weighted Polynomial Approximation and Numerical Methods for Integral Equations by : Peter Junghanns

Download or read book Weighted Polynomial Approximation and Numerical Methods for Integral Equations written by Peter Junghanns and published by Springer Nature. This book was released on 2021-08-10 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.

Frontiers In Electronics

Author : Sorin Cristoloveanu
Publisher : World Scientific
ISBN 13 : 9814468045
Total Pages : 335 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Frontiers In Electronics by : Sorin Cristoloveanu

Download or read book Frontiers In Electronics written by Sorin Cristoloveanu and published by World Scientific. This book was released on 2009-08-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers in Electronics contains the selected best papers presented at the Workshop on Frontiers in Electronics (WOFE-07). This meeting was the fifth in the series of WOFE workshops, and strongly reinforced the tradition of scientific quality and visionary research. The issues addressed ranged from THz and infrared electronics to nanoelectronics and photonics. The papers focused on the fabrication, characterization and applications of nanodevices; wide band gap structures; and state-of-the-art FETs. The participants also discussed the device physics and processing issues including aspects related to SOI and germanium-on-insulator technologies, TFTs, and advanced CMOS and MOSFETs. It is this cross-pollination between different but related fields that made this conference very special.This book, which goes beyond the publication of the WOFE Proceedings, includes full-length invited papers selected at the conference and reviewed by international leaders. The book is divided into four distinct sections, with the common denominator throughout being the “nano-device”, present under various metamorphoses in the wide CMOS and optoelectronics arena./a

Frontiers in Queueing

Author : Jewgeni H. Dshalalow
Publisher : CRC Press
ISBN 13 : 9780849380761
Total Pages : 482 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Frontiers in Queueing by : Jewgeni H. Dshalalow

Download or read book Frontiers in Queueing written by Jewgeni H. Dshalalow and published by CRC Press. This book was released on 1997-01-21 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing systems and networks are being applied to many areas of technology today, including telecommunications, computers, satellite systems, and traffic processes. This timely book, written by 26 of the most respected and influential researchers in the field, provides an overview of fundamental queueing systems and networks as applied to these technologies. Frontiers in Queueing: Models and Applications in Science and Engineering was written with more of an engineering slant than its predecessor, Advances in Queueing: Theory, Methods, and Open Problems. The earlier book was primarily concerned with methods, and was more theoretically oriented. This new volume, meant to be a sequel to the first book, was written by scientists and queueing theorists whose expertise is in technology and engineering, allowing readers to answer questions regarding the technicalities of related methods from the earlier book. Each chapter in the book surveys the classes of queueing models and networks, or the applied methods in queueing, and is followed by a discussion of open problems and future research directions. The discussion of these future trends is especially important to novice researchers, students, and even their advisors, as it provides the perspectives of eminent scientists in each area, thus showing where research efforts should be focused. Frontiers in Queueing: Models and Applications in Science and Engineering also includes applications to vital areas of engineering and technology, specifically, telecommunications, computers and computer networks, satellite systems, traffic processes, and more applied methods such as simulation, statistics, and numerical methods. All researchers, from students to advanced professionals, can benefit from the sound advice and perspective of the contributors represented in this book.