Results For Generalized Steffensen' S Inequality

Abstract

This thesis present a study of some of the most notable and primal integral inequalities developed for n- convex functions. Thus, allowing us to assemble new developments in this research area under a specified frame. We construct new bounds of Gr¨uss and Ostrwoski type inequality associated to generalized Steffensen’s inequality by using ˇ Cebyˇsev functional. Finally, we construct new linear functionals for 2n-convex func tions and investigate their properties.