A GENERALIZATION OF THE EXPONENTIAL SAMPLING SERIES AND ITS APPROXIMATION PROPERTIES

被引：39

作者：

Bardaro, Carlo ^{[1
]}

Faina, Loris ^{[1
]}

Mantellini, Ilaria ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy

来源：

MATHEMATICA SLOVACA | 2017年 / 67卷 / 06期

关键词：

Mellin transform; Mellin band-limited functions; Mellin derivatives; generalized exponential sampling; DILATIONALLY INVARIANT TRANSFORMS; COVERING DISCONTINUOUS SIGNALS; MELLIN TRANSFORM; CONVOLUTION-OPERATORS; ASYMPTOTIC FORMULAS; ABSOLUTE CONTINUITY; THEOREM; PREDICTION; LAPLACE; TERMS;

D O I：

10.1515/ms-2017-0064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here we introduce a generalization of the exponential sampling series of optical physics and establish pointwise and uniform convergence theorem, also in a quantitative form. Moreover we compare the error of approximation for Mellin band-limited functions using both classical and generalized exponential sampling series. (C) 2017 Mathematical Institute Slovak Academy of Sciences

引用

页码：1481 / 1496

页数：16

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