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Weighted Cebysev Type Inequalities for Double Integrals and Application
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 4)Publication Date: 2021-12-05
Authors : Asif R. Khan; Hira Nasir; Syed Sikander Shirazi;
Page : 59-72
Keywords : Cebysev inequality; Weighted Cebyvsev inequality; Montgomery identity; probability density function;
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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 $L_m,, mgeq 1$ norm of differentiable functions. Also, we give some applications of the probability density function.
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Last modified: 2022-07-31 17:25:04