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http://dx.doi.org/10.5666/KMJ.2016.56.4.1161

Certain Inequalities Involving Pathway Fractional Integral Operators  

Choi, Junesang (Department of Mathematics, Dongguk University)
Agarwal, Praveen (Department of Mathematics, Anand International College of Engineering)
Publication Information
Kyungpook Mathematical Journal / v.56, no.4, 2016 , pp. 1161-1168 More about this Journal
Abstract
Belarbi and Dahmani [3], recently, using the Riemann-Liouville fractional integral, presented some interesting integral inequalities for the Chebyshev functional in the case of two synchronous functions. Subsequently, Dahmani et al. [5] and Sulaiman [17], provided some fractional integral inequalities. Here, motivated essentially by Belarbi and Dahmani's work [3], we aim at establishing certain (presumably) new inequalities associated with pathway fractional integral operators by using synchronous functions which are involved in the Chebychev functional. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out.
Keywords
Gamma function; Beta function; Pathway fractional integration operator; Riemann-Liouville fractional integrals; Chebyshev functional; Synchronous functions; Integral inequalities;
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