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http://dx.doi.org/10.7858/eamj.2014.018

CERTAIN FRACTIONAL INTEGRAL INEQUALITIES INVOLVING HYPERGEOMETRIC OPERATORS  

Choi, Junesang (Department of Mathematics, Dongguk University)
Agarwal, Praveen (Department of Mathematics, Anand International College of Engineering)
Publication Information
East Asian mathematical journal / v.30, no.3, 2014 , pp. 283-291 More about this Journal
Abstract
A remarkably large number of inequalities involving the fractional integral operators have been investigated in the literature by many authors. Very recently, Baleanu et al. [2] gave certain interesting fractional integral inequalities involving the Gauss hypergeometric functions. Using the same fractional integral operator, in this paper, we present some (presumably) new fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Saigo, Erd$\acute{e}$lyi-Kober and Riemann-Liouville type fractional integral operators. Relevant connections of the results presented here with those earlier ones are also pointed out.
Keywords
Integral inequalities; Extended Chebyshev functional; Riemann-Liouville fractional integral operator; Erd$\acute{e}$lyi-Kober fractional integral operator; Saigo fractional integral operator; Curiel and Galu fractional integral operator;
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