高阶Bernstein-Kantorovich算子

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2023-01-18 DOI:10.1007/s40010-022-00804-w

Anjali, Vijay Gupta

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引用次数: 1

摘要

在本文中，我们考虑与Bernstein多项式相关的高阶(j阶，\(j\in \textbf{N}_{0}\)) Bernstein - kantorovich算子。我们估计了一些直接结果，包括voronovskaja型渐近公式、同时逼近和误差估计。最后，通过图形表示进行了对比研究，并对误差值的上界进行了数值解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Higher-Order Bernstein–Kantorovich Operators

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Higher-Order Bernstein–Kantorovich Operators

In the present paper, we consider the higher-order (j-th order, \(j\in \textbf{N}_{0}\)) Bernstein–Kantorovich operators, which are connected with the Bernstein polynomials. We estimate some direct results including the Voronovskaja-kind asymptotic formula, simultaneous approximation and error estimations. In the end, we present comparative study through graphical representation and numerically interpret the upper bound of the error value.

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来源期刊

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 综合性期刊-综合性期刊

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology