与贝塞尔函数相关的平方基算子

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-07-26 DOI:10.1007/s13324-025-01110-5

Monika Herzog

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引用次数: 0

摘要

最近对线性正算子的研究导致了对Szász-Mirkyan算子与0阶修正贝塞尔函数有关的近似性质的研究。在本文中，我们分析了这些算子的渐近性，收敛定理，Voronovskaya和gr ss-Voronovskaya型结果。并与经典Szász-Mirakyan算子进行了比较评价。这些结果可能对广泛的知识分支产生影响，例如概率论、统计学、物理化学、光学和计算机科学，特别是信号处理。

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Squared basis operators related to Bessel functions

Recent studies on linear positive operators have led to the investigation of approximation properties of Szász–Mirkyan operators related to the modified Bessel function of order 0. In this paper, we analyse the asymptotic behavior of these operators, convergence theorems, Voronovskaya and Grüss-Voronovskaya type results. A comparative assessment with classical Szász–Mirakyan operators is also presented. These results may have an impact on wide branches of knowledge, such as probability theory, statistics, physical chemistry, optics, and computer science, especially signal processing.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.