杜尔迈耶型抽样算子的收敛特性

IF 2.6 3区数学 Computational and Applied Mathematics Pub Date : 2024-09-11 DOI:10.1007/s40314-024-02918-w

Vaibhav Sharma, Vijay Gupta

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引用次数: 0

摘要

本文研究了 Durrmeyer 型采样算子的近似性质。我们考虑了广义采样算子和 Durrmeyer 采样算子的组成。对于新的组合算子，我们提供了点式和均匀收敛性，以及一阶连续性模数和 K 函数的定量估计。此外，我们还利用加权连续性模数研究了收敛速率。同时，我们还为算子提供了差分估计。此外，我们还提供了组成算子线性组合的近似结果。最后，我们通过图形示例讨论了算子的收敛率。

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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Convergence properties of Durrmeyer-type sampling operators

In this article, we study the approximation properties of Durrmeyer-type sampling operators. We consider the composition of generalized sampling operators and Durrmeyer sampling operators. For the new composition operators, we provide the pointwise and uniform convergence, as well as the quantitative estimates in terms of the first-order modulus of continuity and K-functional. Moreover, we investigate the rate of convergence using weighted modulus of continuity. Also, difference estimates are provided for the operators. Additionally, we provide approximation results for the linear combinations of the composition operators. Finally, we discuss the rate of convergence for the operators via graphical example.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.