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Turkish Journal of Mathematics

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

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