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Journal of Mathematical Analysis and Applications
Article . 2018 . Peer-reviewed
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Article . 2018
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Modularly weighted four dimensional matrix summability with application to Korovkin type approximation theorem

Authors: Uğur Kadak;

Modularly weighted four dimensional matrix summability with application to Korovkin type approximation theorem

Abstract

The author studies weighted four-dimensional matrix summability methods. These methods are related to generalized difference operators involving the \((p,q)\)-gamma function in modular function spaces. Some inclusion relations between the newly proposed summability methods are given. Further, a Korovkin-type approximation result for functions of two variables in modular spaces is proven.

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Turkey
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Keywords

four-dimensional matrix summability, modularly weighted \(A\)-statistical convergence, Matrix methods for summability, bivariate \((p, q)\)-Bernstein-Kantorovich operators, Approximation by positive operators, statistically modularly \(\widetilde{\mathcal{N}}_A\)-summability, Korovkin-type approximation theorem for functions of two variables in modular spaces, Inclusion and equivalence theorems in summability theory

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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!
15
Top 10%
Average
Top 10%
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