Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator

Author:

Ni Jinbo,Chen Gang,Dong Hudie

Abstract

AbstractIn this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral operators. Then, by using this newly generalized fractional integral operator, we proved several new Hermite-Hadamard-type inequalities for convex functions. Finally, we provided some corollaries to show that the current results extend and enrich the previous results in the literature.

Funder

National Natural Science Foundation of China

the Key Program of University Natural Science Research Fund of Anhui Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference30 articles.

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5. Awan, M.U., Noor, M.A., Safdar, F., et al.: Hermite-Hadamard type inequalities with applications. Miskolc Math. Notes 21(2), 593–614 (2020)

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