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The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
Purshottam Narain Agrawal1, Behar Baxhaku2, Ruchi Chauhan1
1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667 India.
Abstract:
In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators. Also, we estimate the approximation order in terms of Peetre's K-functional and partial moduli of continuity. Furthermore, we introduce the associated GBS-case (Generalized Boolean Sum) of these operators and study the degree of approximation by means of the Lipschitz class of Bögel continuous functions. Finally, we present some graphical examples to illustrate the rate of convergence of the operators under consideration.
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