New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities

New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities

An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right sides of Hermite-Hadamard-Mercer’s involving...

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Bibliographic Details
Main Authors: Hong-Hu Chu, Saima Rashid, Zakia Hammouch, Yu-Ming Chu
Format: Article
Language:English
Published: Elsevier 2020-10-01
Series:Alexandria Engineering Journal
Subjects:
Convex function
Hermite-Hadamard-Mercer inequality
Jensen Mercer inequality
Generalized fractional integral operator
Hölder inequality
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820303112

Internet

http://www.sciencedirect.com/science/article/pii/S1110016820303112

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