New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function

In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral. Moreover, we establish Hermite-Fejér inequality via fuzzy Rie...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 11; pp. 12260 - 12278
Main Authors Yang, Yanping, Saleem, Muhammad Shoaib, Nazeer, Waqas, Shah, Ahsan Fareed
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
convex function
convex fuzzy interval-valued function
exponential type convex function
exponential type convex fuzzy interval-valued function
fuzzy fractional integral operator
he's fuzzy fractional derivative
hermite-hadamard fejér type inequality
hermite-hadamard type inequality
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Summary:In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral. Moreover, we establish Hermite-Fejér inequality via fuzzy Riemann-Liouville fractional integral.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021710