Weighted Cebysev Type Inequalities for Double Integrals and Application

被引：2

作者：

Khan, Asif R. ^{[1
]}

Nasir, Hira ^{[2
]}

Shirazi, S. Sikander ^{[3
]}

机构：

[1] Univ Karachi, Dept Math, Univ Rd, Karachi 75270, Pakistan

[2] Fed Urdu Univ Arts Sci & Technol, Dept Math, Univ Rd, Karachi 75270, Pakistan

[3] Muhammad Ali Jinnah Univ, Dept Basic Sci, PECHS Main Shahrahe Faisal, Karachi 75400, Pakistan

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2021年 / 18卷 / 04期

关键词：

Cebysev inequality; Weighted Cebysev inequality; Montgomery identity; Probability density function;

D O I：

10.22130/scma.2021.129537.815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 >= 1 norm of differentiable functions. Also, we give some applications of the probability density function.

引用

页码：59 / 72

页数：15

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