二重积分的加权Cebysev型不等式及其应用

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-10-30 DOI:10.22130/SCMA.2021.129537.815

Asif R Khan, Hira Nasir, Syed Sikander Shirazi

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引用次数: 0

摘要

本文的目的是推广涉及权函数的二重积分的Cebysev型不等式。利用一个加权Montgomery恒等式的积分变换，得到了可微函数$L_m，， mgeq 1$范数中的加权Cebysev型不等式的广义形式。同时，给出了概率密度函数的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weighted Cebysev Type Inequalities for Double Integrals and Application

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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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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