Title of article :
HERMITE-HADAMARD TYPE INEQUALITIES FOR ϕ-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
Author/Authors :
NOOR ، MUHAMMAD ASLAM - COMSATS Institute of Information Technology , NOOR ، MUKHALIDA INAYAT - COMSATS Institute of Information Technology , AWAN ، MUHAMMAD UZAIR - COMSATS Institute of Information Technology
Abstract :
In this paper, we consider ϕ-convex functions which were introduced and studied by Noor [Some new classes of nonconvex functions, Nonl. Funct. Anal. Appl., 11(2006), No. 1, 165-171.]. We prove several Hermite-Hadamard type integral inequalities for ϕ-convex functions via fractional integrals. Our results include several new and known results as special cases. Results proved in this paper represent refinement and improvement of the previously known results.
Keywords :
Convex functions , ϕ , convex functions , integral inequalities , fractional integrals
Journal title :
Journal of Advanced Mathematical Studies
Journal title :
Journal of Advanced Mathematical Studies
