Korovkin Type Approximation Theory And Its Applications

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Korovkin-type Approximation Theory and Its Applications

Author : Francesco Altomare
Publisher : Walter de Gruyter
ISBN 13 : 3110884585
Total Pages : 641 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Korovkin-type Approximation Theory and Its Applications by : Francesco Altomare

Download or read book Korovkin-type Approximation Theory and Its Applications written by Francesco Altomare and published by Walter de Gruyter. This book was released on 2011-07-21 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Approximation Results and Korovkin-Type Theorems

Author : Ambreen Naaz
Publisher :
ISBN 13 : 9781805258445
Total Pages : 0 pages
Book Rating : 4.2/5 (584 download)

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Book Synopsis Approximation Results and Korovkin-Type Theorems by : Ambreen Naaz

Download or read book Approximation Results and Korovkin-Type Theorems written by Ambreen Naaz and published by . This book was released on 2023-04-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation Theory, Sequence Spaces and Applications

Author : S. A. Mohiuddine
Publisher : Springer Nature
ISBN 13 : 9811961166
Total Pages : 277 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Approximation Theory, Sequence Spaces and Applications by : S. A. Mohiuddine

Download or read book Approximation Theory, Sequence Spaces and Applications written by S. A. Mohiuddine and published by Springer Nature. This book was released on 2022-12-07 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.

Approximation Theory Using Positive Linear Operators

Author : Radu Paltanea
Publisher : Springer Science & Business Media
ISBN 13 : 1461220580
Total Pages : 208 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Approximation Theory Using Positive Linear Operators by : Radu Paltanea

Download or read book Approximation Theory Using Positive Linear Operators written by Radu Paltanea and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results

Advances in Applied Mathematics and Approximation Theory

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
ISBN 13 : 1461463939
Total Pages : 494 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Applied Mathematics and Approximation Theory by : George A. Anastassiou

Download or read book Advances in Applied Mathematics and Approximation Theory written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.

Mathematical Analysis, Approximation Theory and Their Applications

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 3319312812
Total Pages : 745 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical Analysis, Approximation Theory and Their Applications by : Themistocles M. Rassias

Download or read book Mathematical Analysis, Approximation Theory and Their Applications written by Themistocles M. Rassias and published by Springer. This book was released on 2016-06-03 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

Advances in Summability and Approximation Theory

Author : S. A. Mohiuddine
Publisher : Springer
ISBN 13 : 9811330778
Total Pages : 241 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Advances in Summability and Approximation Theory by : S. A. Mohiuddine

Download or read book Advances in Summability and Approximation Theory written by S. A. Mohiuddine and published by Springer. This book was released on 2018-12-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is one of the currently active areas of research in approximation theory. Presenting original papers by internationally recognized authors, the book is of interest to a wide range of mathematicians whose research areas include summability and approximation theory. One of the most active areas of research in summability theory is the concept of statistical convergence, which is a generalization of the familiar and widely investigated concept of convergence of real and complex sequences, and it has been used in Fourier analysis, probability theory, approximation theory and in other branches of mathematics. The theory of approximation deals with how functions can best be approximated with simpler functions. In the study of approximation of functions by linear positive operators, Bernstein polynomials play a highly significant role due to their simple and useful structure. And, during the last few decades, different types of research have been dedicated to improving the rate of convergence and decreasing the error of approximation.

Recent Advances in Constructive Approximation Theory

Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3319921657
Total Pages : 295 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Recent Advances in Constructive Approximation Theory by : Vijay Gupta

Download or read book Recent Advances in Constructive Approximation Theory written by Vijay Gupta and published by Springer. This book was released on 2018-07-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics. Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators.

Towards Intelligent Modeling: Statistical Approximation Theory

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
ISBN 13 : 3642198260
Total Pages : 239 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Towards Intelligent Modeling: Statistical Approximation Theory by : George A. Anastassiou

Download or read book Towards Intelligent Modeling: Statistical Approximation Theory written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on. In this monograph we consider this concept in approximating a function by linear operators, especially when the classical limit fails. The results of this book not only cover the classical and statistical approximation theory, but also are applied in the fuzzy logic via the fuzzy-valued operators. The authors in particular treat the important Korovkin approximation theory of positive linear operators in statistical and fuzzy sense. They also present various statistical approximation theorems for some specific real and complex-valued linear operators that are not positive. This is the first monograph in Statistical Approximation Theory and Fuzziness. The chapters are self-contained and several advanced courses can be taught. The research findings will be useful in various applications including applied and computational mathematics, stochastics, engineering, artificial intelligence, vision and machine learning. This monograph is directed to graduate students, researchers, practitioners and professors of all disciplines.

Approximation Theory Using Positive Linear Operators

Author : Radu Paltanea
Publisher : Springer Science & Business Media
ISBN 13 : 9780817643508
Total Pages : 222 pages
Book Rating : 4.6/5 (435 download)

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Book Synopsis Approximation Theory Using Positive Linear Operators by : Radu Paltanea

Download or read book Approximation Theory Using Positive Linear Operators written by Radu Paltanea and published by Springer Science & Business Media. This book was released on 2004-09-17 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results

Ordered Cones and Approximation

Author : Klaus Keimel
Publisher : Springer
ISBN 13 : 3540470794
Total Pages : 140 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Ordered Cones and Approximation by : Klaus Keimel

Download or read book Ordered Cones and Approximation written by Klaus Keimel and published by Springer. This book was released on 2006-11-15 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.

Korovkin Type Approximation Theorem Related with Σ-limit

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (143 download)

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Book Synopsis Korovkin Type Approximation Theorem Related with Σ-limit by :

Download or read book Korovkin Type Approximation Theorem Related with Σ-limit written by and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exact Constants in Approximation Theory

Author : Nikolaĭ Pavlovich Korneĭchuk
Publisher : Cambridge University Press
ISBN 13 : 9780521382342
Total Pages : 472 pages
Book Rating : 4.3/5 (823 download)

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Book Synopsis Exact Constants in Approximation Theory by : Nikolaĭ Pavlovich Korneĭchuk

Download or read book Exact Constants in Approximation Theory written by Nikolaĭ Pavlovich Korneĭchuk and published by Cambridge University Press. This book was released on 1991-06-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a self-contained introduction for non-specialists, or as a reference work for experts, to the particular area of approximation theory that is concerned with exact constants. The results apply mainly to extremal problems in approximation theory, which in turn are closely related to numerical analysis and optimization. The book encompasses a wide range of questions and problems: best approximation by polynomials and splines; linear approximation methods, such as spline-approximation; optimal reconstruction of functions and linear functionals. Many of the results are based on deep facts from analysis and function theory, such as duality theory and comparison theorems; these are presented in chapters 1 and 3. In keeping with the author's intention to make the book as self-contained as possible, chapter 2 contains an introduction to polynomial and spline approximation. Chapters 4 to 7 apply the theory to specific classes of functions. The last chapter deals with n-widths and generalises some of the ideas of the earlier chapters. Each chapter concludes with commentary, exercises and extensions of results. A substantial bibliography is included. Many of the results collected here have not been gathered together in book form before, so it will be essential reading for approximation theorists.

Mathematical Analysis I: Approximation Theory

Author : Naokant Deo
Publisher : Springer Nature
ISBN 13 : 9811511535
Total Pages : 262 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Analysis I: Approximation Theory by : Naokant Deo

Download or read book Mathematical Analysis I: Approximation Theory written by Naokant Deo and published by Springer Nature. This book was released on 2020-02-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. It also shows the use of analytical techniques to solve problems and, wherever possible, derive their numerical solutions. This volume addresses major topics, such as operator theory, approximation theory, fixed-point theory, holomorphic functions, summability theory, and analytic functions. It is a valuable resource for students as well as researchers in mathematical sciences.

Operator Algebras and Mathematical Physics

Author : Tirthankar Bhattacharyya
Publisher : Birkhäuser
ISBN 13 : 3319181823
Total Pages : 207 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Operator Algebras and Mathematical Physics by : Tirthankar Bhattacharyya

Download or read book Operator Algebras and Mathematical Physics written by Tirthankar Bhattacharyya and published by Birkhäuser. This book was released on 2015-09-29 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.

Applied Summability Methods

Author : M. Mursaleen
Publisher : Springer Science & Business Media
ISBN 13 : 3319046098
Total Pages : 129 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Applied Summability Methods by : M. Mursaleen

Download or read book Applied Summability Methods written by M. Mursaleen and published by Springer Science & Business Media. This book was released on 2014-03-27 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert's summability and Wiener's Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems.

Mathematical Modelling, Applied Analysis and Computation

Author : Jagdev Singh
Publisher : Springer Nature
ISBN 13 : 9811396086
Total Pages : 311 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 311 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.