Exponential Sampling Series: Convergence in Mellin–Lebesgue Spaces

被引：0
|
作者：
Carlo Bardaro
Ilaria Mantellini
Gerhard Schmeisser
机构：
[1] University of Perugia,Department of Mathematics and Computer Sciences
[2] Friedrich-Alexander Universität Erlangen-Nürnberg,Department Mathematik
来源：
Results in Mathematics | 2019年 / 74卷
关键词：
Mellin–Lebesgue spaces; generalized exponential sampling series; bounded coarse variation; Primary 41A58; 42C15; 94A20; Secondary 46E22;
D O I：
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摘要：
In this paper we study norm-convergence to a function f of its generalized exponential sampling series in weighted Lebesgue spaces. Key roles are taken by a result on the norm-density of the test functions and the notion of bounded coarse variation. Some examples are described.
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