Document Type : Research Paper

Authors

1 Department of Mathematics, University of Karachi, University Road, Karachi-75270 Pakistan.

2 Department of Mathematics, Federal Urdu University of Arts, Science and Technology , University Road, Karachi-75270 Pakistan.

3 Department of Basic Sciences, Muhammad Ali Jinnah University, P.E.C.H.S. Main Shahrah-e-Faisal, Karachi-75400, 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 $L_m,\, m\geq 1$ norm of differentiable functions. Also, we give some applications of the probability density function.

Keywords

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