Parameterized Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science

被引：1

作者：

Boutelhig, N. ^{[1
]}

Meftah, B. ^{[2
]}

Saleh, W. ^{[3
]}

Lakhdari, A. ^{[4
]}

机构：

[1] Mohamed Cher Messaadia Univ, Lab Rech & Etud Econ, Souk ahras, Algeria

[2] Univ 8 may 1945, Dept Math, Guelma, Algeria

[3] Taibah Univ, Dept Math, Al Medina, Saudi Arabia

[4] Natl Higher Sch Technol & Engn, Annaba, Algeria

来源：

JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS | 2023年 / 19卷 / 01期

关键词：

Simpson inequality; Newton-Cotes quadrature; bounded functions; Lipschitzian functions; HADAMARDS TYPE;

D O I：

10.2478/jamsi-2023-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on a given parameterized identity that generates a quadrature rule family similar to Simpson's second formula, we establish some new Simpson-like type inequalities for functions with bounded as well as Lipchitzian derivatives from which we can deduce the famous 3/8-Simpson's inequality. The study concludes with an application example from management science.

引用

页码：79 / 91

页数：13

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