Fractional Ostrowski-Sugeno Fuzzy univariate inequalities

George A. Anastassiou

doi:10.3934/dcdss.2020111

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2020, Volume 13, Issue 12: 3305-3317. Doi: 10.3934/dcdss.2020111

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Fractional Ostrowski-Sugeno Fuzzy univariate inequalities

George A. Anastassiou

Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA

Received: July 31, 2018

Revised: November 30, 2018

Early access: October 2019

Published: August 2020

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Abstract

Here we present fractional univariate Ostrowski-Sugeno Fuzzy type inequalities. These are of Ostrowski-like inequalities in the setting of Sugeno fuzzy integral and its special-particular properties. In a fractional environment, they give tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages. The fractional derivatives we use are of Canavati and Caputo types. This work is greatly inspired by [8], [1] and [2].

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Mathematics Subject Classification: Primary: 26A33, 26D07, 26D10, 26D15, 41A44; Secondary: 26A24, 26D20, 28A25.

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References

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