基于Orlicz空间连续模的抽样Kantorovich级数的定量估计

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2019-03-01 DOI:10.33205/CMA.484500

D. Costarelli, G. Vinti

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引用次数: 23

摘要

在本文中，我们建立了采样Kantorovich算子关于Orlicz空间中连续模的定量估计，该连续模是根据模泛函定义的。最后，讨论了具体的例子，包括与上述算子的核有关的例子，以及Orlicz空间的一些具体例子。

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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A Quantitative Estimate for the Sampling Kantorovich Series in Terms of the Modulus of Continuity in Orlicz Spaces

In the present paper we establish a quantitative estimate for the sampling Kantorovich operators with respect to the modulus of continuity in Orlicz spaces defined in terms of the modular functional. At the end of the paper, concrete examples are discussed, both for what concerns the kernels of the above operators, as well as for some concrete instances of Orlicz spaces.

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来源期刊

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks