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Approximation by Chlodowsky type of Szász operators based on Boas-Buck-type polynomials. (English) Zbl 1424.41044

Summary: A Chlodowsky variant of generalized Szász-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.

MSC:

41A36 Approximation by positive operators
41A10 Approximation by polynomials
41A25 Rate of convergence, degree of approximation
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