Integral inequalities for some convex functions via generalized fractional integrals

Integral inequalities for some convex functions via generalized fractional integrals

Abstract In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional integral and Hadamard fractional integra...

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Bibliographic Details
Main Authors: Naila Mehreen, Matloob Anwar
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of Inequalities and Applications
Subjects:
Hermite–Hadamard inequalities
Riemann–Liouville fractional integral
Hadamard fractional integral
Katugampola fractional integral
Convex functions
s-convex functions
Online Access:http://link.springer.com/article/10.1186/s13660-018-1807-7
Description
Summary:Abstract In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional integral and Hadamard fractional integral. We show that through the Katugampola fractional integral we can find a Hermite–Hadamard inequality via the Riemann–Liouville fractional integral.
ISSN:1029-242X

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