Gamma operators reproducing exponential functions

Gamma operators reproducing exponential functions

Abstract The present paper deals with reconstruction of Gamma operators preserving some exponential functions and studies their approximation properties: uniform convergence, rate of convergence, asymptotic formula and saturation. The effectiveness of new operators compared to classical ones is pres...

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Bibliographic Details
Main Authors: Tuncer Acar, Mohammad Mursaleen, Serife Nur Deveci
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Advances in Difference Equations
Subjects:
Gamma operator
Uniform approximation
Rate of convergence
Exponential functions
Numerical results
Online Access:http://link.springer.com/article/10.1186/s13662-020-02880-x
Description
Summary:Abstract The present paper deals with reconstruction of Gamma operators preserving some exponential functions and studies their approximation properties: uniform convergence, rate of convergence, asymptotic formula and saturation. The effectiveness of new operators compared to classical ones is presented in certain senses as well. The last section is devoted to numerical results which compare the effectiveness of new constructions of Gamma operators.
ISSN:1687-1847

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