OSTROWSKI-GRUSS TYPE INEQUALITIES AND A 2D OSTROWSKI TYPE INEQUALITY ON TIME SCALES INVOLVING A COMBINATION OF Δ-INTEGRAL MEANS

被引：0

作者：

Kermausuor, Seth ^{[1
]}

Nwaeze, Eze R. ^{[2
]}

机构：

[1] Alabama State Univ, Dept Math & Comp Sci, Montgomery, AL 36101 USA

[2] Tuskegee Univ, Dept Math, Tuskegee, AL 36088 USA

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 01期

关键词：

Montgomery identity; Ostrowski's inequality; Ostrowski-Gruss inequality; Delta-integral means; double integrals; time scales;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derived two Ostrowski-Gruss type inequalities on time scales involving a combination of Delta-integral means. One of the inequalities is sharp. We also obtained 2-dimensional Ostrowski type inequality involving a combination of Delta-integral means. Our results extend some known results in the literature. Furthermore, we apply our results to the continuous, discrete and quantum calculus to obtain some interesting inequalities in these directions.

引用

页码：127 / 143

页数：17

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