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Chinese Journal of Mathematics
Article . 2014 . Peer-reviewed
License: CC BY
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Chinese Journal of Mathematics
Article
License: CC BY
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zbMATH Open
Article . 2014
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On Fractional Integral Inequalities Involving Hypergeometric Operators

On fractional integral inequalities involving hypergeometric operators
Authors: Baleanu, D.; Purohit, S. D.; Agarwal, Praveen;

On Fractional Integral Inequalities Involving Hypergeometric Operators

Abstract

Here we aim at establishing certain new fractional integral inequalities involving the Gauss hypergeometric function for synchronous functions which are related to the Chebyshev functional. Several special cases as fractional integral inequalities involving Saigo, Erdélyi-Kober, and Riemann-Liouville type fractional integral operators are presented in the concluding section. Further, we also consider their relevance with other related known results.

Keywords

synchronous functions, Classical hypergeometric functions, \({}_2F_1\), Fractional derivatives and integrals, Inequalities for sums, series and integrals, fractional integral operators, fractional integral inequalities

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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!
14
Top 10%
Top 10%
Top 10%
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