- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- Approximation by Chlodowsky type of Szasz operators based on Boas--Buck-type polynomials
Approximation by Chlodowsky type of Szasz operators based on Boas--Buck-type polynomials
Authors : Mohammad Mursaleen, A. A. H. Al-abied, Ana Maria Acu
Pages : 2243-2259
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Publication Date : 9999-12-31
Article Type : Makaleler
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