Genuine Bernstein–Durrmeyer type operators preserving 1 and \(x^j\)

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2023-10-28 DOI:10.1007/s43034-023-00305-w

Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Raşa

引用次数: 0

Abstract

We introduce a family of genuine Bernstein–Durrmeyer type operators preserving the functions 1 and \(x^j\). For them, we establish Voronovskaja type formulas. The behaviour with respect to generalized convex functions is investigated.

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真正的Bernstein-Durrmeyer型运算符保留1和 \(x^j\)

我们引入了一类真正的Bernstein-Durrmeyer型算子，它们保持函数1和\(x^j\)。对于它们，我们建立了Voronovskaja型公式。研究了它在广义凸函数下的行为。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.