Szász–Durrmeyer Operators Involving Confluent Appell Polynomials

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-20 DOI:10.3390/axioms13030135

Kadir Kanat, Selin Erdal

引用次数: 0

Abstract

This article is concerned with the Durrmeyer-type generalization of Szász operators, including confluent Appell polynomials and their approximation properties. Also, the rate of convergence of the confluent Durrmeyer operators is found by using the modulus of continuity and Peetre’s K-functional. Then, we show that, under special choices of A(t), the newly constructed operators reduce confluent Hermite polynomials and confluent Bernoulli polynomials, respectively. Finally, we present a comparison of newly constructed operators with the Durrmeyer-type Szász operators graphically.

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涉及共容 Appell 多项式的 Szász-Durrmeyer 算子

本文主要研究 Szász 算子的 Durrmeyer 型广义，包括汇合 Appell 多项式及其近似性质。同时，通过使用连续性模数和 Peetre 的 K 函数，我们发现了汇合 Durrmeyer 算子的收敛率。然后，我们证明了在 A(t) 的特殊选择下，新构造的算子分别还原了汇合赫米特多项式和汇合伯努利多项式。最后，我们将新构造的算子与 Durrmeyer 型 Szász 算子进行图解比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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