On two times differentiable preinvex and prequasiinvex functions

Authors : İmdat İŞCAN, Mahir KADAKAL, Huriye KADAKAL

Pages : 950-963

Doi:10.31801/cfsuasmas.501407

View : 22 | Download : 16

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :The main goal of this paper is to establish a new identity for functions defined on an open invex subset of real numbers. By using this identity, the Hölder integral inequality and power mean integral inequality, we introduce some new type integral inequalities for functions whose powers of second derivatives in absolute values are preinvex and prequasiinvex.
Keywords : Invex set, preinvex and prequasiinvex, Hölder integral inequality