Author/Authors :
Khan, Asif R. Department of Mathematics - University of Karachi, Karachi, Pakistan , Nasir, Hira Department of Mathematics - Federal Urdu University of Arts, Science and Technology, Karachi, Pakistan , Shirazi, Syed Sikander Department of Basic Sciences - Muhammad Ali Jinnah University, P.E.C.H.S. Main Shahrah-e-Faisal, Karachi, Pakistan
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 Lm,m≥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
