New Hermite-Hadamard-Fejer inequalities via k-fractional integrals for differentiable generalized nonconvex functions

Abstract

The authors discover a new interesting generalized identity concerning differentiable functions via k-fractional integrals. By using the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard-Fejer type inequalities via k-fractional integrals for generalized (h1,h2)-nonconvex functions are presented. These inequalities have some connections with known integral inequalities. Also, some new special cases are provided as well.