A Bernstein-Schnabl type operator: Applications to difference equations

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI:10.2298/aadm210714011a

A. Acu, M. Dancs, M. Heilmann, Vlad Paşca, I. Raşa

引用次数: 1

Abstract

We consider a sequence of positive linear operators Ln of Bernstein-Schnabl type. It was studied in the literature from various points of view; we provide new properties of it. The eigenstructure of these operators is described. We investigate the kernel of Ln which is related with the set of solutions of a difference equation. Several algorithms are proposed in order to solve the involved problems.

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Bernstein-Schnabl型算子:在差分方程中的应用

考虑一类Bernstein-Schnabl型正线性算子Ln序列。文献从不同的角度对其进行了研究;我们提供了它的新性质。描述了这些算子的特征结构。研究了与差分方程解集有关的Ln的核。为了解决涉及的问题，提出了几种算法。

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

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).