Gamma operators reproducing exponential functions

Advances in Difference Equations

article

Acar, Tuncer¹  Mursaleen, Mohammad²  Deveci, Serife Nur¹ 

[1] Faculty of Science, Department of Mathematics, Selcuk University;Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan);Department of Mathematics, Aligarh Muslim University

关键词: Gamma operator;    Uniform approximation;    Rate of convergence;    Exponential functions;    Numerical results;   

DOI  :  10.1186/s13662-020-02880-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY