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Abstract and Applied Analysis
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Abstract and Applied Analysis
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Fractional Integral Inequalities via Hadamard’s Fractional Integral

المتباينات التكاملية الكسرية عبر تكامل هادامارد الكسري
Authors: Weerawat Sudsutad; Sotiris K. Ntouyas; Jessada Tariboon;

Fractional Integral Inequalities via Hadamard’s Fractional Integral

Abstract

We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.

Keywords

Hadamard product, Hadamard's inequality, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, Fractional Integrals, Fractional derivatives and integrals, QA1-939, FOS: Mathematics, Hadamard three-lines theorem, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Integral equation, Applied Mathematics, Fractional calculus, Pure mathematics, Applied mathematics, Fractional Derivatives, Inequality, Modeling and Simulation, Physical Sciences, Inequalities for sums, series and integrals, Fractional Calculus, Hadamard matrix, Hermite-Hadamard Inequalities, Mathematics

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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
15
Top 10%
Top 10%
Average
gold