Abstract and Applied Analysis

Approximation by Certain Linear Positive Operators of Two Variables

Afşin Kürşat Gazanfer and İbrahim Büyükyazıcı

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Abstract

We introduce positive linear operators which are combined with the Chlodowsky and Szász type operators and study some approximation properties of these operators in the space of continuous functions of two variables on a compact set. The convergence rate of these operators are obtained by means of the modulus of continuity. And we also obtain weighted approximation properties for these positive linear operators in a weighted space of functions of two variables and find the convergence rate for these operators by using the weighted modulus of continuity.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 782080, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412279772

Digital Object Identifier
doi:10.1155/2014/782080

Mathematical Reviews number (MathSciNet)
MR3212447

Zentralblatt MATH identifier
07023059

Citation

Gazanfer, Afşin Kürşat; Büyükyazıcı, İbrahim. Approximation by Certain Linear Positive Operators of Two Variables. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 782080, 6 pages. doi:10.1155/2014/782080. https://projecteuclid.org/euclid.aaa/1412279772


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