On a class of linear positive bivariate operators of King type

Abstract

The concern of this note is to introduce a general class of linear positive operators of discrete type acting on the space of real valued functions defined on a plane domain. These operators preserve some test functions of Bohman-Korovkin theorem. Following our technique, as a particular class, a modified variant of the bivariate Bernstein-Chlodovsky operators is presented.

Authors

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

Keywords

linear positive operator, Bohman-Korovkin theorem, bivariate modulus of smoothness, Bernstein-Chlodovsky operator.

Paper coordinates

O. Agratini, On a class of linear positive bivariate operators of King type, Studia Universitatis Babes-Bolyai, Mathematica, 51 (2006) no. 4, pp. 13-22.

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About this paper

Journal

Studia Universitatis Babes-Bolyai, Mathematica

Publisher Name
DOI
Print ISSN

1843-3855

Online ISSN

2065-9490

google scholar link

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2006

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