Bivariate positive operators in polynomial weighted spaces

2 years ago

(original), Approximation Theory, not-at-ICTP, paper

Abstract

This paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to use, we also modify this extension into finite sums. With respect to these two new classes designed, we investigate their approximation properties in polynomial weighted spaces. The rate of convergence is established, and special cases of our construction are highlighted.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Rate of convergence; Steklov function; bivariate linear positive operator; modulus of smoothness; weighted space

Paper coordinates

O. Agratini, Bivariate positive operators in polynomial weighted spaces, Abstract and Applied Analysis, 2013, 8 pages, art. id. 850760, https://doi.org/10.1155/2013/850760

PDF

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also freely available at the publisher: https://doi.org/10.1155/2013/850760

About this paper

Journal

Abstract and Applied Analysis

Publisher Name

Hindawi Limited

DOI

http://DOI: 10.1155/4058

Print ISSN

1085-3375

Online ISSN

1687-0409

google scholar link

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