A Parameter-Based Ostrowski-Gruss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales

被引：4

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：

MATHEMATICS | 2018年 / 6卷 / 12期

关键词：

Ostrowski-Gruss-type inequality; Montgomery identity; time scales; parameter; IMPROVEMENT;

D O I：

10.3390/math6120326

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present some Ostrowski-Gruss-type inequalities on time scales for functions whose derivatives are bounded by functions for k points via a parameter. The 2D versions of these inequalities are also presented. Our results generalize some of the results in the literature. As a by-product, we apply our results to the continuous and discrete calculus to obtain some interesting inequalities in this direction.

引用

页数：15

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