Annals of Functional Analysis

Chlodowsky–Szasz–Appell-type operators for functions of two variables

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

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Abstract

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–Szasz–Appell-type operators and examine the order of approximation in the Bögel space of continuous functions by means of the mixed modulus of smoothness.

Article information

Source
Ann. Funct. Anal., Volume 8, Number 4 (2017), 446-459.

Dates
Received: 4 September 2016
Accepted: 1 December 2016
First available in Project Euclid: 25 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.afa/1495677675

Digital Object Identifier
doi:10.1215/20088752-2017-0009

Mathematical Reviews number (MathSciNet)
MR3717167

Zentralblatt MATH identifier
1382.41022

Subjects
Primary: 41A36: Approximation by positive operators
Secondary: 41A25: Rate of convergence, degree of approximation

Keywords
Chlodowsky operators Appell polynomials Szasz operators moduli of continuity

Citation

Sidharth, Manjari; Acu, Ana Maria; Agrawal, P. N. Chlodowsky–Szasz–Appell-type operators for functions of two variables. Ann. Funct. Anal. 8 (2017), no. 4, 446--459. doi:10.1215/20088752-2017-0009. https://projecteuclid.org/euclid.afa/1495677675


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