Generalizations of Hermite–Hadamard like inequalities involving χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals

Generalizations of Hermite–Hadamard like inequalities involving χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals

Abstract The main objective of this paper is to obtain a new κ-fractional analogue of Hermite–Hadamard’s inequality using the class of s-convex functions and χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals. In order to obtain other main results of the paper we derive two new fractional integral...

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Bibliographic Details
Main Authors: Yu-Ming Chu, Muhammad Uzair Awan, Sadia Talib, Muhammad Aslam Noor, Khalida Inayat Noor
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Convex
s-convex
Fractional
Hilfer
Hermite–Hadamard inequality
Online Access:http://link.springer.com/article/10.1186/s13662-020-03059-0

Internet

http://link.springer.com/article/10.1186/s13662-020-03059-0

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