关于α- baskakov - durmeyer型算子的注记

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI:10.1216/rmj.2023.53.1511

Jaspreet Kaur, Meenu Goyal

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引用次数: 0

摘要

我们给出了依赖于实参数ρ>0的α-Baskakov Durrmeyer算子的推广。给出了在Korovkin和加权Korovkin空间中的近似结果。我们还证明了这些算子的逼近阶数和逼近速率。最后，利用Mathematica软件进行数值算例验证。

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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A NOTE ON α-BASKAKOV–DURRMEYER-TYPE OPERATORS

We give the generalization of α-Baskakov Durrmeyer operators depending on a real parameter ρ>0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of approximation and rate of approximation for these operators. In the end, we verify our results with the help of numerical examples by using Mathematica.

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来源期刊

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.