A Characterization of the Absolute Continuity in Terms of Convergence in Variation for the Sampling Kantorovich Operators

被引：0
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作者：
Laura Angeloni
Danilo Costarelli
Gianluca Vinti
机构：
[1] University of Perugia,Department of Mathematics and Computer Science
来源：
Mediterranean Journal of Mathematics | 2019年 / 16卷
关键词：
Convergence in variation; sampling Kantorovich series; averaged kernel; variation diminishing-type property; generalized sampling series; 41A25; 41A05; 41A30; 47A58;
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摘要：
We study the convergence in variation for the sampling Kantorovich operators in both the cases of averaged-type kernels and classical band-limited kernels. In the first case, a characterization of the space of the absolutely continuous functions in terms of the convergence in variation is obtained.
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