广义Bernstein—Kantorovich算子：Voronovskaya型结果，变分收敛

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2021-11-15 DOI:10.37193/cjm.2022.01.01

A. Acu, A. Aral, I. Raşa

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引用次数: 7

摘要

本文讨论了指数型Bernstein Kantorovich算子的Voronovskaya型结果和变分收敛性。Voronovskaya型结果伴随着上述算子与合适的辅助离散算子之间的关系。在有界变分函数空间中，得到了算子对变分半模的收敛性。我们提出了一个涵盖以前文献提供的结果的一般框架。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Generalized Bernstein Kantorovich operators: Voronovskaya type results, convergence in variation

This paper includes Voronovskaya type results and convergence in variation for the exponential Bernstein Kantorovich operators. The Voronovskaya type result is accompanied by a relation between the mentioned operators and suitable auxiliary discrete operators. Convergence of the operators with respect to the variation seminorm is obtained in the space of functions with bounded variation. We propose a general framework covering the results provided by previous literature.

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.