可微有界函数和Lipschitzian函数的参数化类simpson不等式及其在管理科学中的应用实例

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of Applied Mathematics Statistics and Informatics Pub Date : 2023-05-01 DOI:10.2478/jamsi-2023-0005

N. Boutelhig, B. Meftah, W. Saleh, A. Lakhdari

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引用次数: 0

摘要

本文基于一个给定的参数化恒等式，得到了一个类似于辛普森第二公式的正交规则族，对有界函数和Lipchitzian导数建立了一些新的类辛普森型不等式，并由此推导出著名的3/8-辛普森不等式。最后以管理学中的一个应用实例作结。

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

Abstract 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.

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来源期刊

Journal of Applied Mathematics Statistics and Informatics MATHEMATICS, APPLIED-

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0.00%

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审稿时长

20 weeks