A generalization of modified \(\alpha \)-Bernstein operators and its related estimations and errors

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2024-11-25 DOI:10.1007/s40065-024-00482-z

Jaspreet Kaur, Meenu Goyal, Khursheed J. Ansari

引用次数: 0

Abstract

In the present article, we introduce a novel generalization of modified Bernstein operators which is again a positive linear operator. We show the necessary and sufficient condition for the convergence of these operators. We also study some other approximation properties of these operators using standard tools of approximation theory.

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修正\(\alpha \) -Bernstein算子的概化及其相关的估计和误差

在本文中，我们引入了修正Bernstein算子的一种新的推广，它也是一个正线性算子。给出了这些算子收敛的充分必要条件。我们还利用逼近理论的标准工具研究了这些算子的其他逼近性质。

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

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.