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Mathematical Methods in the Applied Sciences
Article . 2018 . Peer-reviewed
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Approximation properties of Szász‐Mirakyan‐Kantorovich type operators

Approximation properties of Szász-Mirakyan-Kantorovich type operators
Authors: Ali Aral; Mohamed Lemine Limmam; Firat Ozsarac;

Approximation properties of Szász‐Mirakyan‐Kantorovich type operators

Abstract

In this paper, we introduce and study new type Szász‐Mirakyan‐Kantorovich operators using a technique different from classical one. This allow to analyze the mentioned operators in terms of exponential test functions instead of the usual polynomial type functions. As a first result, we prove Korovkin type approximation theorems through exponential weighted convergence. The rate of convergence of the operators is obtained for exponential weights.

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Turkey
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Keywords

weighted modulus of continuity, Szász-Mirakyan operators, Approximation by positive operators, Rate of convergence, degree of approximation, Szasz-Mirakyan operators, uniform 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!
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