IJPAM: Volume 101, No. 1 (2015)

GENERALIZED FRACTIONAL INTEGRAL INEQUALITIES
INVOLVING HYPERGEOMETRIC OPERATORS

Seda Kilinç$^1$, Hüseyin Yildirim$^2$
$^{1}$Department of Mathematics
Faculty of Science and Arts
University of Kahramanmaraş
Sütçü İmam, 46000, Kahramanmaraş, TURKEY


Abstract. In this paper we establish new generalized fractional integral inequalities involving the Gauss hypergeometric function for synchronous functions which are related to the Chebyshev functional.We deal with generalized fractional integral inequalities involving Saigo, Erdelyi-Kober and Riemann-Liouville type fractional integral operators.

Received: January 29, 2015

AMS Subject Classification: 26A33, 26D10, 26D15, 41A55

Key Words and Phrases: fractional integral, Riemann-Liouville fractional integral, hypergeometric function

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DOI: 10.12732/ijpam.v101i1.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 1
Pages: 71 - 82


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