The approximation Szász-Chlodowsky type operators involving Gould-Hopper type polynomials. (English) Zbl 1470.41016

Baxhaku, Behar; Berisha, Artan

Abstr. Appl. Anal. 2017, Article ID 4013958, 8 p. (2017).

Summary: We introduce the Szász and Chlodowsky operators based on Gould-Hopper polynomials and study the statistical convergence of these operators in a weighted space of functions on a positive semiaxis. Further, a Voronovskaja type result is obtained for the operators containing Gould-Hopper polynomials. Finally, some graphical examples for the convergence of this type of operator are given.

MSC:

41A36	Approximation by positive operators
33C47	Other special orthogonal polynomials and functions
41A10	Approximation by polynomials
41A25	Rate of convergence, degree of approximation

References:

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