On fractional integral inequalities involving hypergeometric operators. (English) Zbl 1301.26023

Baleanu, D.; Purohit, S. D.; Agarwal, Praveen

Chin. J. Math. (New York) 2014, Article ID 609476, 5 p. (2014).

Summary: 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.

MSC:

26D15	Inequalities for sums, series and integrals
26A33	Fractional derivatives and integrals
33C05	Classical hypergeometric functions, \({}_2F_1\)

Keywords:

fractional integral inequalities; synchronous functions; fractional integral operators

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