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Discrete & Continuous Dynamical Systems - S
Article . 2020 . Peer-reviewed
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Discrete & Continuous Dynamical Systems - S
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Article . 2020
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https://dx.doi.org/10.3934/dcd...
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Fractional Ostrowski-Sugeno Fuzzy univariate inequalities

Fractional Ostrowski-Sugeno fuzzy univariate inequalities
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2020Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems - S, volume 13, pages 3,305-3,317 (issn: 1937-1632, eissn: 1937-1179, Copyright policy )
Authors: Anastassiou, George A.;

doi: 10.3934/dcdss.2020111

Fractional Ostrowski-Sugeno Fuzzy univariate inequalities

Abstract

In this paper, the author presents a survey of the Sugeno fuzzy integral and its basic properties. By employing the right and left fractional derivatives of Canavati and Caputo type, a series of Ostrowski-Sugeno-type fractional inequalities in the univariate case to all directions in the context of the Sugeno integral and its basic important properties are derived. In addition, a reverse fractional Polya-Sugeno inequality was derived and proved.

Keywords

Fuzzy measure theory, Fuzzy real analysis, Sugeno fuzzy integral, Inequalities involving derivatives and differential and integral operators, fractional derivative, Fractional derivatives and integrals, fuzzy Ostrowski inequality, Inequalities for sums, series and integrals, fuzzy Polya inequality, deviation from fuzzy average

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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!
0
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