SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR

I. Yesilce

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Abstract

In this paper, B^-1-convexity which is an abstract convexity type is studied. In addition, some new Hermite-Hadamard type inequalities for B^-1-convex functions involving Riemann-Liouville type integral operators that are more general from classic integral operators are proven.

Keywords

Abstract convexity, B^-1-convexity, fractional integral, Hermite-Hadamard inequalities.