Approximation by Chlodowsky type of Szasz operators based on Boas--Buck-type polynomials

Authors

MOHAMMAD MURSALEEN
A.A.H. Al-Abied
ANA MARIA ACU

Abstract

A Chlodowsky variant of generalized Szasz-type operators involving Boas-Buck-type polynomials is considered and some convergence properties of these operators by using a weighted Korovkin-type theorem are given. A Voronoskaja-type theorem is proved. The convergence properties of these operators in a weighted space of functions defined on $[0,\infty)$ are studied. The theoretical results are exemplified choosing the special cases of Boas-Buck polynomials, namely Appell-type polynomials, Laguerre polynomials, and Charlier polynomials.

DOI

10.3906/mat-1803-62

Keywords

Szasz operators, modulus of continuity, rate of convergence, weighted space, Boas-Buck-type polynomials

First Page

2243

Last Page

2259

Recommended Citation

MURSALEEN, M, Al-Abied, A, & ACU, A. M (2018). Approximation by Chlodowsky type of Szasz operators based on Boas--Buck-type polynomials. Turkish Journal of Mathematics 42 (5): 2243-2259. https://doi.org/10.3906/mat-1803-62