Hermite–Jensen–Mercer type inequalities for conformable integrals and related results

Hermite–Jensen–Mercer type inequalities for conformable integrals and related results

Abstract In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose derivatives in the absolute values are conve...

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Bibliographic Details
Main Authors: Saad Ihsan Butt, Mehroz Nadeem, Shahid Qaisar, Ahmet Ocak Akdemir, Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Advances in Difference Equations
Subjects:
Convex functions
Hermite–Hadamard inequalities
Jensen–Mercer inequality
Conformable integrals
Online Access:http://link.springer.com/article/10.1186/s13662-020-02968-4
Description
Summary:Abstract In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose derivatives in the absolute values are convex.
ISSN:1687-1847

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