Degree of Approximation for Bivariate Chlodowsky–Szasz–Charlier Type Operators

Abstract

We consider a combination of Chlodowsky polynomials with generalized Szasz operators involving Charlier polynomials. We give the degree of approximation for these bivariate operators by means of the complete and partial modulus of continuity, and also by using weighted modulus of continuity. Furthermore, we construct a GBS (Generalized Boolean Sum) operator of bivariate Chlodowsky-Szasz-Charlier type and estimate the order of approximation in terms of mixed modulus of continuity.Mathematics Subject Classification. 41A25, 41A36, 41A63, 41A10.

The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials

“…In the last few decades the convergence estimation for linear positive operators is an active area of research amongst researchers. Several new operators have been introduced and their convergence behavior has been discussed (see [5][6][7][8]). In [9,10] authors introduced a bivariate blending variant of the Szász type operators and studied local approximation properties for these operators.…”

Generalized Bernstein‐Kantorovich–type operators on a triangle

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The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators

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