Recent Advances in Constructive Approximation Theory

• Main Authors: Gupta, Vijay (Author, http://id.loc.gov/vocabulary/relators/aut), Rassias, Themistocles M. (http://id.loc.gov/vocabulary/relators/aut), Agrawal, P. N. (http://id.loc.gov/vocabulary/relators/aut), Acu, Ana Maria (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Optimization and Its Applications, 138
• Subjects: Operator theory.; Functions of complex variables.; Differential equations.; Partial differential equations.; Functional analysis.; Operator Theory.; Functions of a Complex Variable.; Several Complex Variables and Analytic Spaces.; Ordinary Differential Equations.; Partial Differential Equations.; Functional Analysis.

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 biva...

Table of Contents:

• 1. Moment Generating Functions and Central Moments
• 2.Quantitative Estimates
• 3.Basics of Post-Quantum Calculus
• 4. Integral Operators
• 5. Univariate Grüss and Ostrowski type inequalities for positive linear operators
• 6. Bivariate Grüss-type inequalities for positive linear operators
• 7. Estimates for the differences of positive linear operators
• 8. Bivariate operators of discrete and integral type
• 9. Convergence of GBS Operators.