# American Institute of Mathematical Sciences

December  2020, 13(12): 3305-3317. doi: 10.3934/dcdss.2020111

## Fractional Ostrowski-Sugeno Fuzzy univariate inequalities

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

Received  August 2018 Revised  December 2018 Published  October 2019

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].

Citation: George A. Anastassiou. Fractional Ostrowski-Sugeno Fuzzy univariate inequalities. Discrete & Continuous Dynamical Systems - S, 2020, 13 (12) : 3305-3317. doi: 10.3934/dcdss.2020111
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