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Korean Journal of Mathematics
Article . 2014 . Peer-reviewed
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Article . 2014
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STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS

Statistical convergence for general beta operators
Authors: Deo, Naokant; Ozarslan, Mehmet Ali; Bhardwaj, Neha;

STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS

Abstract

Summary: In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function \(x^2\). We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.

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Keywords

beta operators, Approximation by positive operators, Rate of convergence, degree of approximation, statistical convergence, Ideal and statistical convergence, rate of convergence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
gold