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Hermite-Hadamard's inequalities for conformable fractional integrals

Authors: Mehmet Zeki Sarıkaya; Abdullah Akkurt; Hüseyin Budak; Merve Esra Yıldırım; Hüseyin Yıldırım;

Hermite-Hadamard's inequalities for conformable fractional integrals

Abstract

In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier works and we show that some of our results are better than the otherresults with respect to midpoint inequalities.

Keywords

Midpoint inequality, Confromable fractional integrals, Confromable fractional integrals; Fractional derivative; Hölder’s inequality; Midpoint inequality; Trapezoid inequality, Hölder’s inequality, Fractional derivative, Trapezoid inequality

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    Top 10%
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citations
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!
18
Top 10%
Top 10%
Top 10%
Green
gold