Abstract
In this paper we construct a linear and positive approximation process of discrete type which includes as a particular case the Meyer-Kong and Zeller operatros.
Based on several inequalities we prove that the sequence converges to the identity operator. We obtain inequalities regarding estimations of the remainder which are given by using the moduli of smoothness of first and second order as well as the Lipschitz type maximal function. also we establish that our operators have the variation diminishing property.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
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Paper coordinates
O. Agratini, Korovkin type error estimates for Meyer-Konig and Zeller operators, Mathematical Inequalities and Applications, 4 (2001), 119-126
About this paper
Journal
Mathematical Inequalities and Applications
Publisher Name
DOI
Print ISSN
1331-4343
Online ISSN
1848-9966
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