MILNE TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS

被引：20

作者：

Djenaoui, Meriem ^{[1
]}

Meftah, Badreddine ^{[2
]}

机构：

[1] Univ Batna 2, Batna, Algeria

[2] Univ 8 Mai 1945 Guelma, Fac Math Informat & Sci Matiere, Dept Math, Guelma, Algeria

来源：

HONAM MATHEMATICAL JOURNAL | 2022年 / 44卷 / 03期

关键词：

Milne inequality; Newton-Cotes quadrature; s-convex functions; Lipschitzian functions; bounded functions;

D O I：

10.5831/HMJ.2022.44.3.325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new identity is given. On the basis of this identity, we establish some new estimates of Milne's quadrature rule, for functions whose first derivative is s-convex. We discuss the cases where the derivatives are bounded as well as Lipschitzian. Some illustrative applications are given.

引用

页码：325 / 338

页数：14

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