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.

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

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