NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR $k$-$\beta $-CONVEX FUNCTIONS VIA GENERALIZED $k$-FRACTIONAL CONFORMABLE INTEGRAL OPERATORS

Abstract

In this paper, we introduce a new concept $k$-$\beta $-convex functions and establish some new Hermite-Hadamard type inequalities for functions whose derivative modulus is $k$-$\beta $-convex via $k$-fractional conformable integral operators.