Weighted Cebysev Type Inequalities for Double Integrals and Application

Abstract

The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type inequalities in $L_m,\, m\geq 1$ norm of differentiable functions. Also, we give some applications of the probability density function.

Keywords

• cebysev inequality
• weighted cebyvsev inequality
• montgomery identity
• probability density function