Estimates on some quadrature rules via weighted Hermite-Hadamard inequality

IF 1 4区数学 Q1 MATHEMATICS Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI:10.2298/aadm201127013b

J. Baric, Ljiljanka Kvesić, J. Pečarić, Mihaela Ribicic-Penava

引用次数: 0

Abstract

In this article new estimates on some quadrature rules are given using weighted Hermite-Hadamard inequality for higher order convex functions and weighted version of the integral identity expressed by w-harmonic sequences of functions. Obtained results are applied to weighted one-point formula for numerical integration in order to derive new estimates of the definite integral values.

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利用加权Hermite-Hadamard不等式估计一些正交规则

本文利用高阶凸函数的加权Hermite-Hadamard不等式和w调和函数序列表示的积分恒等式的加权形式，给出了一些求积规则的新估计。将所得结果应用于数值积分的加权一点公式，以得到定积分值的新估计。

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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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).

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