Open AccessNew 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.