Recent advances in constructive approximation theory
type: Item
instance of: scholarly article
title: Recent advances in constructive approximation theory
zbMATH Open document ID: 1400.41017
DOI: 10.1007/978-3-319-92165-5
author: Vijay Gupta
author: Themistocles M. Rassias
author: P. N. Agrawal
author: Ana Maria Acu
published in: Springer Optimization and Its Applications
publication date: 2018-06-29T00:00:00Z
review text: 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. Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate and bivariate Grüss-type inequalities for very many positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators. The book contains 9 chapters and a list of 229 references. Contents: Chapter 1. Moment generating functions and central moments Chapter 2. Quantitative estimates Chapter 3. Basics of post-quantum calculus Chapter 4. \((p, q)\) integral operators Chapter 5. Univariate Grüss- and Ostrowski-type inequalities for positive linear operators Chapter 6. Bivariate Grüss-type inequalities for positive linear operators Chapter 7. Estimates for the differences of positive linear operators Chapter 8. Bivariate operators of discrete and integral type Chapter 9. Convergence of GBS operators It is a useful book to research scientists, graduate students and engineers working in pure and applied mathematics, physics and industry.
Mathematics Subject Classification ID: 41-02
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A35
zbMATH DE Number: 6897818
zbMATH Keywords: discrete operators
zbMATH Keywords: constructive approximation theory
zbMATH Keywords: quantitative estimates
zbMATH Keywords: integral operators
zbMATH Keywords: post-quantum calculus
zbMATH Keywords: Ostrowski type inequalities
zbMATH Keywords: univariate Grüss inequality
zbMATH Keywords: bivariate Grüss-type inequalities
zbMATH Keywords: bivariate operators
zbMATH Keywords: GBS operators
reviewed by: Sorin G. Gal
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-92165-5
OpenAlex ID: W2838166069
description: scientific article; zbMATH DE number 6897818