Overview
- Surveys current theories, methods, and applications in constructive approximation
- Features applications to optimization, physics, and biology
- Extends results of linear positive operators in a post quantum and bivariate setting
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 138)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
- discrete operators
- Constructive Approximation Theory
- quantitative estimates
- integral operators
- Quantitative Estimates
- Post-Quantum Calculus
- Ostrowski type inequalities
- Univariate Grüss
- Bivariate Grüss-type inequalities
- Bivariate operators
- GBS Operators
- ordinary differential equations
- partial differential equations
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Recent Advances in Constructive Approximation Theory
Authors: Vijay Gupta, Themistocles M. Rassias, P. N. Agrawal, Ana Maria Acu
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-319-92165-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-92164-8Published: 18 July 2018
Softcover ISBN: 978-3-030-06374-0Published: 22 December 2018
eBook ISBN: 978-3-319-92165-5Published: 06 July 2018
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: X, 291
Number of Illustrations: 10 illustrations in colour
Topics: Operator Theory, Functions of a Complex Variable, Several Complex Variables and Analytic Spaces, Ordinary Differential Equations, Partial Differential Equations, Functional Analysis