On Fractional Integral Inequalities Involving Hypergeometric Operators | Zendy

Dumitru Băleanu | Zendy; Sunıl Dutt Purohıt | Zendy; Praveen Agarwal | Zendy

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On Fractional Integral Inequalities Involving Hypergeometric Operators

Author(s) -

Dumitru Băleanu,

Sunıl Dutt Purohıt,

Praveen Agarwal

Publication year - 2014

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2014/609476

Subject(s) - mathematics , hypergeometric function , barnes integral , fractional calculus , pure mathematics , confluent hypergeometric function , type (biology) , generalized hypergeometric function , chebyshev filter , inequality , exponential integral , gauss , mathematical analysis , algebra over a field , volume integral , integral equation , hypergeometric function of a matrix argument , physics , ecology , biology , quantum mechanics

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

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