Overview
- Presents up to date research and advances in approximation theory
- Bridges classical methods and contemporary approaches to solve problems
- Contains new insights and serves as a guide to advanced topics
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 117)
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Table of contents (22 chapters)
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Front Matter
Keywords
About this book
Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics.
The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman.
This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.
Editors and Affiliations
Bibliographic Information
Book Title: Progress in Approximation Theory and Applicable Complex Analysis
Book Subtitle: In Memory of Q.I. Rahman
Editors: Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-319-49242-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-49240-7Published: 10 April 2017
Softcover ISBN: 978-3-319-84112-0Published: 20 July 2018
eBook ISBN: 978-3-319-49242-1Published: 03 April 2017
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XXXIV, 519
Number of Illustrations: 10 b/w illustrations, 14 illustrations in colour
Topics: Optimization, Functions of a Complex Variable, Approximations and Expansions, Numerical Analysis, Information and Communication, Circuits