Chlodowsky-Szász-Appell-type operators for functions of two variables. (English) Zbl 1382.41022

Sidharth, Manjari; Acu, Ana Maria; Agrawal, P. N.

Ann. Funct. Anal. 8, No. 4, 446-459 (2017).

Summary: This article deals with the approximation properties of the bivariate operators which are the combination of Bernstein-Chlodowsky operators and the Szász operators involving Appell polynomials. We investigate the degree of approximation of the operators with the help of the complete modulus of continuity and the partial moduli of continuity. In the last section of the paper, we introduce the generalized Boolean sum (GBS) of these bivariate Chlodowsky-Szász-Appell-type operators and examine the order of approximation in the Bögel space of continuous functions by means of the mixed modulus of smoothness.

MSC:

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

Keywords:

Chlodowsky operators; Appell polynomials; Szász operators; moduli of continuity