Recent advances in constructive approximation theory
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.
scientific article; zbMATH DE number 6897818