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Mathematical Methods in the Applied Sciences
Article . 2015 . Peer-reviewed
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Article . 2016
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Stancu‐type generalization of Dunkl analogue of Szász–Kantorovich operators

Stancu-type generalization of Dunkl analogue of Szász-Kantorovich operators
Authors: ÇEKİM, BAYRAM; Icoz, Guerhan;

Stancu‐type generalization of Dunkl analogue of Szász–Kantorovich operators

Abstract

The purpose of the paper is to introduce Stancu‐type linear positive operators generated by Dunkl generalization of exponential function. We present approximation properties with the help of well‐known Korovkin‐type theorem and weighted Korovkin‐type theorem and also acquire the rate of convergence in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre's K‐functional, and second‐order modulus of continuity by Dunkl analogue of Szász operators. Copyright © 2015 John Wiley & Sons, Ltd.

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Turkey
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Keywords

Dunjl analogue, Approximation by operators (in particular, by integral operators), linear positive operators, Szasz operators

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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!
31
Top 10%
Top 10%
Top 10%
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