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On the generalized Hermite-Hadamard inequalities

Authors: Sarıkaya, Mehmet Zeki; Ertugral, Fatma;

On the generalized Hermite-Hadamard inequalities

Abstract

In this paper, we present a new definition which generalizes some significant well known fractional integral operators such as Riemann-Liouville fractional integral, k-Riemann-Liouville fractional integral, Katugampola fractional operators, conformable fractional integral, Hadamard fractional integrals, etc. Then, using a general class of this generalized fractional integral operator, we establish new generalized fractional integral inequalities of Hermite-Hadamard type which cover the previously published results.

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Keywords

Fractional Integrals, Real Numbers, convex function and Hermite-Hadamard inequality, Differentiable Mappings, Riemann-Liouville fractional integral

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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