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Article . 2020
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SOME GENERALIZED INTEGRAL INEQUALITIES VIA FRACTIONAL INTEGRALS

Some generalized integral inequalities via fractional integrals
Authors: Sarıkaya, Mehmet Zeki; Budak, Hüseyin; Usta, Fuat;

SOME GENERALIZED INTEGRAL INEQUALITIES VIA FRACTIONAL INTEGRALS

Abstract

Summary: The main goal of this paper is to introduce a new integral definition concerned with the fractional calculus. Then we establish generalized Hermite-Hadamard type integral inequalities for convex functions using the proposed fractional integrals. The results presented provide extensions of those given in earlier works.

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Turkey
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Keywords

Fractional derivatives and integrals, Inequalities for sums, series and integrals, integral inequalities, Riemann-Liouville fractional integral, Hermite-Hadamard's inequalities, Convexity of real functions in one variable, generalizations

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selected citations
These citations are derived from selected sources.
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!
0
Average
Average
Average
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