Some Approximation Properties of Operators Including Degenerate Appell Polynomials

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2023-12-01 DOI:10.1515/ms-2023-0111

Bilge Zehra Sergi, Gürhan Içöz, Bayram Çekim

引用次数: 0

Abstract

ABSTRACT This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre’s 𝒦-functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.

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包括畸变阿贝尔多项式在内的算子的一些近似性质

摘要本文关注的是包括退化阿贝尔多项式在内的线性正算子的新序列。我们给出了这些算子的收敛定理，并利用连续性模量、Peetre 𝒦函数、Lipschitz 类函数和 Voronovskaja 型定理获得了近似的定量估计。此外，我们还给出了这些算子的康托洛维奇修正，并推导出一些近似性质。

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

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.