扰动类梯形不等式

Q2 Pharmacology, Toxicology and Pharmaceutics

Science and Technology Indonesia Pub Date : 2023-04-15 DOI:10.26554/sti.2023.8.2.205-211

W. Alshanti, I. Batiha, Ahmad Alshanty, A. Zraiqat, I. Jebril, Ma’mon Ahmad Abu

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引用次数: 0

摘要

本文基于3步Peano核的一般构型，对二阶导数属于L∞的可微映射给出了新的Ostrowski型积分不等式。然后我们利用这些版本生成新的扰动梯形不等式。这些新的类摄动梯形不等式的误差界与前人的研究结果相似，且小于前人的研究结果。此外，所得到的一些扰动类梯形不等式揭示了欧拉-麦克劳林和与梯形法则之间的关系。最后，为了完整性，给出了数值复合求积规则的具体实现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Perturbed Trapezoid Like Inequalities

In our current research article, based on a general configuration of a 3-step Peano kernel, new versions of integral inequality of Ostrowski’s type are developed for differentiable mappings that have second derivatives belong to L∞. Then we utilized these versions to generate new perturbed trapezoid like inequalities. These new perturbed trapezoid like inequalities are proposed with error bounds smaller than and similar to those reported by previous studies. Moreover, some of the obtained perturbed trapezoid like inequalities reveal the relationship between the Euler-Maclaurin summation and the trapezoidal rule. Finally, certain implementations to numerical composite quadrature rules are provided for completeness.

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来源期刊

Science and Technology Indonesia Pharmacology, Toxicology and Pharmaceutics-Pharmacology, Toxicology and Pharmaceutics (miscellaneous)

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

8 weeks