An asymptotic formula for a class of approximation processes of King’s type

Author:

Agratini Octavian1

Affiliation:

1. 1 Babeş-Bolyai University Faculty of Mathematics and Computer Science 400084 Cluj-Napoca Romania

Abstract

In this paper we present a general class of linear positive operators of discrete type reproducing the third test function of Korovkin theorem. In a certain weighted space it forms an approximation process. A Voronovskaja-type result is established and particular cases are analyzed.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference5 articles.

1. Agratini, O., Linear operators that preserve some test functions, Int. J. Math. Math. Sci., Vol. 2006, Article ID 94136, p. 11 (2006). MR2007e:41025

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3. Some approximation theorems via statistical convergence;Gadjiev A. D.;Rocky Mountain J. Math.,2002

4. Positive linear operators which preserve x2;King J. P.;Acta Math. Hungar.,2003

5. Saturation and inverse theorems for combinations of a class of exponential-type operators;May C. P.;Canad. J. Math.,1976

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2. On Sequences of J. P. King-Type Operators;Journal of Function Spaces;2019-05-16

3. Some general Baskakov type operators;Miskolc Mathematical Notes;2014

4. Bernstein-type operators which preserve exactly two test functions;Studia Scientiarum Mathematicarum Hungarica;2013-12-01

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