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Article . 2020
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Fractional hermite hadamard's type inequality for the co-ordinated convex functions

Fractional Hermite-Hadamard's type inequality for the co-ordinates convex functions
Authors: Tunç, Tuba; Sarıkaya, Mehmet Zeki; Yaldız, Hatice;

Fractional hermite hadamard's type inequality for the co-ordinated convex functions

Abstract

Summary: In this paper, we consider the co-ordinated convex functions and obtain some Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For this purpose, we first prove an supplement al result for two variables. Using this auxiliary result, integral inequalities for the left-hand side of the fractional Hermite-Hadamard type inequality on the coordinates are derived. These represent can be viewed as a refinement of the previously known results.

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Turkey
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Keywords

convex function, Hölder inequality, Convexity of real functions in one variable, generalizations, Hermite-Hadamard inequality, Holder's İnequality, Fractional derivatives and integrals, co-ordinated convex mapping, Inequalities for sums, series and integrals, Co-Ordinated Convex Mapping, Hermite-Hadamard İnequality, Riemann-Liouville Fractional İntegrals, Convex Function, Riemann-Liouville fractional integrals

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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
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Average
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