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Miskolc Mathematical Notes
Article . 2011 . Peer-reviewed
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$q$-Szász Schurer operators

Authors: Özarslan, Mehmet Ali;

$q$-Szász Schurer operators

Abstract

In this paper, we introduce q-Szasz Schurer operators and calculate their moments. The transformation properties, Korovkin type approximation theorem and rate of convergence of the operators are studied. We further obtain global estimates for q-Szasz Schurer operators in terms of some Lipschitz classes.

Country
Hungary
Keywords

q-Szasz Schurer operators, QA Mathematics / matematika, Schurer-Szasz-Mirakjan operators, global approximation, modulus of continuity, Lipschitz classes, q-Szasz-Mirakjan operators, Petree's K-functional, Korovkin type theorem

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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!
6
Average
Top 10%
Average
gold