涉及拉盖尔多项式的积分型算子和离散算子的合成

IF 0.8 3区数学 Q2 MATHEMATICS Positivity Pub Date : 2024-05-27 DOI:10.1007/s11117-024-01058-z

Ulrich Abel, Vijay Gupta

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引用次数: 0

摘要

在本论文中，我们提供了一种新方法，通过积分算子和离散算子的组合来捕捉涉及拉盖尔多项式的算子。由此得到的新算子是离散算子。我们通过考虑 Szász-Durrmeyer 算子、与 \(2x^{3/2}\) 相关的指数型算子和 Phillips 算子分别与 Szász-Mirakyan 算子的组合给出了三个例子。在所有情况下，我们都能得到正线性、离散定义的算子，它们基于拉盖尔多项式和正实半轴上的近似函数。

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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Composition of integral-type operators and discrete operators involving Laguerre polynomials

In this note we provide a new way to capture operators involving Laguerre polynomials by composition of an integral operator and a discrete operator. The new operator so obtained is a discrete operator. We give three examples by considering composition of Szász-Durrmeyer operator, exponential-type operator related to \(2x^{3/2}\) and the Phillips operator, respectively, with Szász-Mirakyan operators. In all cases we obtain positive linear, discretely defined operators which are based on Laguerre polynomials and approximate functions on the positive real half-axis.

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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.