一类二阶类伯恩斯坦算子

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-09-13 DOI:10.1016/j.cam.2025.117060

Beatrice Azzarone, Paola Lamberti

引用次数: 0

摘要

本文介绍了Khosravian-Arab等人（2018）中提出的广义Bernstein算子的更广泛类别，特别是那些保证二阶近似性质的算子。数值结果证实了理论近似顺序，取决于实参数h的选择，表征了这种进一步的推广。

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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On a wider class of second-order Bernstein-like operators

This paper presents a wider class of the generalized Bernstein operators presented in Khosravian-Arab et al. (2018), in particular for the ones guaranteeing the second-order approximation property. Numerical results confirm the theoretical approximation order, depending on the choice of a real parameter

h

, characterizing such a further generalization.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.