On the approximation properties of generalized Gamma-type operators in several function spaces

IF 0.9 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-07-19 DOI:10.1007/s43034-025-00453-1

Mirella Cappelletti Montano, Vita Leonessa, Arianna Travaglini

引用次数: 0

Abstract

In the present paper, we study a class of integral operators of probabilistic type, which are constructed by means of the generalized Gamma distribution. In particular, we discuss their approximation properties in weighted continuous function spaces and \(L^p\)-spaces, providing some estimates of the rate of convergence by means of different moduli of smoothness as well as an asymptotic formula. The paper concludes with some illustrative examples.

查看原文本刊更多论文

几种函数空间中广义伽玛型算子的近似性质

本文研究了一类由广义伽玛分布构造的概率型积分算子。特别地，我们讨论了它们在加权连续函数空间和\(L^p\) -空间中的逼近性质，利用不同的平滑模给出了收敛速度的一些估计，并给出了一个渐近公式。文章最后给出了一些例子说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.