A PARAMETER-BASED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE DERIVATIVES BELONGS TO Lp([a, b]) INVOLVING MULTIPLE POINTS

被引:0
|
作者
Kermausuor, Seth [1 ]
机构
[1] Alabama State Univ, Dept Math & Comp Sci, Montgomery, AL 36101 USA
来源
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 03期
关键词
Ostrowski's inequality; midpoint inequality; Simpson's inequality; Mont-gomery identity; Holder's inequality; parameter; INTEGRAL INEQUALITY; TIME SCALES; MAPPINGS; BOUNDS;
D O I
10.46793/KgJMat2303.445K
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A new generalization of Ostrowski's inequality for functions whose derivatives belong to LP([a, b]) (1 < p < oo) for k points via a parameter is pro-vided. Some particular integral inequalities are derived as by products. Our results generalize some results in the literature.
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页码:445 / 458
页数:14
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