Fractional Ostrowski-Sugeno fuzzy univariate inequalities
type: Item
instance of: scholarly article
title: Fractional Ostrowski-Sugeno fuzzy univariate inequalities
zbMATH Open document ID: 1458.26021
author: George A. Anastassiou
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-01-12T00:00:00Z
review text: 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.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 7292992
zbMATH Keywords: fractional derivative
zbMATH Keywords: Sugeno fuzzy integral
zbMATH Keywords: deviation from fuzzy average
zbMATH Keywords: fuzzy Ostrowski inequality
zbMATH Keywords: fuzzy Polya inequality
MaRDI profile type: Publication
full work available at URL: dcdss.2020111
OpenAlex ID: W2982296959
cites work: Fractional Differentiation Inequalities
cites work: Advances on Fractional Inequalities
cites work: Intelligent mathematics: computational analysis
cites work: Intelligent comparisons: analytic inequalities
cites work: On the Minkowski-Hölder type inequalities for generalized Sugeno integrals with an application.
cites work: Q3794718
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
cites work: Q4508877
cites work: The fuzzy integral
DOI: 10.3934/DCDSS.2020111
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description: scientific article; zbMATH DE number 7292992