IF 2.1
3区 数学
Q1 MATHEMATICS, APPLIED
引用次数: 0
摘要
本手稿引入了一种新的（ λ , μ $$ \lambda, \kern0.3em \mu $$ ）-伯恩斯坦-德尔迈耶算子。得到了 Korovkin 型近似定理，利用光滑度模量、Lipschitz 连续函数和 Steklov 平均值研究了收敛速率，建立了 Voronovskaja 渐近公式，并给出了图形表示和数值示例，将新定义的算子与其他形式进行了比较。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Approximation Properties of
(λ,μ)-Bernstein-Durrmeyer Operators
In this manuscript, a new kind of ( )-Bernstein-Durrmeyer operators is introduced. A Korovkin-type approximation theorem is obtained, the rate of convergence is investigated by using the modulus of smoothness, Lipschitz continuous function, and Steklov mean, a Voronovskaja asymptotic formula is established, and graphical representations and numerical examples are also presented to compare the newly defined ones with other forms.
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来源期刊
CiteScore
4.90
自引率
6.90%
发文量
798
审稿时长
6 months
期刊介绍：
Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome.
Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted.
Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.
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