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Mathematics
Other literature type . 2022
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Mathematics
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Mathematics
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Gazi Üniversitesi - AVESIS
Article . 2022
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A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 08 Jun 2022 Turkey English Publisher:MDPI AGJournal:Mathematics, volume 10, page 1,982 (eissn: 2227-7390, Copyright policy )
Authors: Esma Yıldız Özkan;

doi: 10.3390/math10121982

A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation

Abstract

We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions. Moreover, we present graphical comparisons exemplifying concretely its better approximation for a certain function. The results of the paper are crucial by means of possessing at least better approximation results than an existing Kantorovich-type rational function.

Country
Turkey
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Keywords

rational function, approximation of positive operators; rate of convergence; Kantorovich-type operator; rational function, QA1-939, Kantorovich-type operator, approximation of positive operators, Mathematics, 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!
2
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