Volume no :17, Issue no: 1, February (2017)

Journal of Pure and Applied Mathematics: Advances and Applications

HERMITE-HADAMARD TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED FUNCTIONS

Author's: Artion Kashuri and Rozana Liko
Pages: [1] - [17]
Received Date: November 27, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121745

Abstract

In the present paper, by using new identity for fractional integrals, some new estimates on generalizations of Hermite-Hadamard type inequalities for the class of generalized functions via Riemann-Liouville fractional integral are established. At the end, some applications to special means are given.

Keywords

Hermite-Hadamard inequality, Holder’s inequality, power mean inequality, Riemann-Liouville fractional integral, s-convex in the second sense, m-invex, P-function.