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

Yanping Yang | Zendy; Muhammad Shoaib Saleem | Zendy; Waqas Nazeer | Zendy; Ahsan Fareed Shah | Zendy

Open Access

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

Author(s) -

Yanping Yang,

Muhammad Shoaib Saleem,

Waqas Nazeer,

Ahsan Fareed Shah

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021710

Subject(s) - mathematics , hermite polynomials , interval (graph theory) , fuzzy logic , convex function , hadamard transform , pure mathematics , mathematical analysis , regular polygon , combinatorics , computer science , geometry , artificial intelligence

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.

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