Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales

被引：1

作者：

Ur Rahman, Atiqe ^{[1
]}

Khan, Khuram Ali ^{[2
]}

Nosheen, Ammara ^{[2
]}

Saeed, Muhammad ^{[1
]}

Botmart, Thongchai ^{[3
]}

Shah, Nehad Ali ^{[4
]}

机构：

[1] Univ Management & Technol, Dept Math, Lahore 54000, Pakistan

[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[3] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

[4] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 09期

关键词：

Ostrowski inequalities; Montgomery identity; time scales; polynomials; GRUSS TYPE INEQUALITIES; TRAPEZOID TYPE;

D O I：

10.3934/math.2022913

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric functions. Moreover, applications to some particular time scales are also presented.

引用

页码：16657 / 16672

页数：16

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