1.

Record Nr.

UNINA9910300130903321

Autore

Gupta Vijay

Titolo

Recent Advances in Constructive Approximation Theory / / by Vijay Gupta, Themistocles M. Rassias, P. N. Agrawal, Ana Maria Acu

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-319-92165-7

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (295 pages)

Collana

Springer Optimization and Its Applications, , 1931-6828 ; ; 138

Disciplina

511.4

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.