Generalization of Sz\'{a}sz operators involving multiple Sheffer polynomials
Classical Analysis and ODEs
2020-06-22 v1
Abstract
The present work deals with the mathematical investigation of some generalizations of the Sz\'{a}sz operators. In this work, the multiple Sheffer polynomials are introduced. The generalization of Sz\'{a}sz operators involving multiple Sheffer polynomials are considered. Convergence properties of these operators are verified with the help of the universal Korovkin-type property and the order of approximation is calculated by using classical modulus of continuity. The theoretical results are exemplified choosing the special cases of multiple Sheffer polynomials.
Keywords
Cite
@article{arxiv.2006.11131,
title = {Generalization of Sz\'{a}sz operators involving multiple Sheffer polynomials},
author = {Mahvish Ali and Richard B. Paris},
journal= {arXiv preprint arXiv:2006.11131},
year = {2020}
}