On Linear Combinations of General Exponential Sampling Series

被引：18

作者：

Balsamo, Simona ^{[1
]}

Mantellini, Ilaria ^{[1
]}

机构：

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

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 04期

关键词：

Voronovskaja-type formula; moments; generalized exponential sampling series; Peetre K-functional; DILATIONALLY INVARIANT TRANSFORMS; MELLIN; LAPLACE; THEOREM;

D O I：

10.1007/s00025-019-1104-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we give asymptotic formulae of Voronovskaja type for linear combinations of exponential sampling series. Moreover we give a quantitative version in terms of some moduli of smoothness. Some examples are given.

引用

页数：19

共 17 条

[1] A GENERALIZATION OF THE EXPONENTIAL SAMPLING SERIES AND ITS APPROXIMATION PROPERTIES [J].

Bardaro, Carlo ;

Faina, Loris ;

Mantellini, Ilaria .

MATHEMATICA SLOVACA, 2017, 67 (06) :1481-1496

[2] On the Paley-Wiener theorem in the Mellin transform setting [J].

Bardaro, Carlo ;

Butzer, Paul L. ;

Mantellini, Ilaria ;

Schmeisser, Gerhard .

JOURNAL OF APPROXIMATION THEORY, 2016, 207 :60-75

[3] On Mellin convolution operators: a direct approach to the asymptotic formulae [J].

Bardaro, Carlo ;

Mantellini, Ilaria .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (03) :182-195

[4] Asymptotic Formulae for Linear Combinations of Generalized Sampling Operators [J].

Bardaro, Carlo ;

Mantellini, Ilaria .

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2013, 32 (03) :279-298

[5] A note on the Voronovskaja theorem for Mellin-Fejer convolution operators [J].

Bardaro, Carlo ;

Mantellini, Ilaria .

APPLIED MATHEMATICS LETTERS, 2011, 24 (12) :2064-2067

[6] EXPONENTIAL-SAMPLING METHOD FOR LAPLACE AND OTHER DILATIONALLY INVARIANT TRANSFORMS .2. EXAMPLES IN PHOTON-CORRELATION SPECTROSCOPY AND FRAUNHOFER-DIFFRACTION [J].

BERTERO, M ;

PIKE, ER .

INVERSE PROBLEMS, 1991, 7 (01) :21-41

[7] EXPONENTIAL-SAMPLING METHOD FOR LAPLACE AND OTHER DILATIONALLY INVARIANT TRANSFORMS .1. SINGULAR-SYSTEM ANALYSIS [J].

BERTERO, M ;

PIKE, ER .

INVERSE PROBLEMS, 1991, 7 (01) :1-20

[8]

Butzer P.L., 1971, Reviews in Group Representation Theory, Part A (Pure and Applied Mathematics Series, V1

[9]

Butzer P.L., 1998, Atti. Sem. Fis. Univ. Modena Suppl., V46, P99

[10] A direct approach to the Mellin transform [J].

Butzer, PL ;

Jansche, S .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1997, 3 (04) :325-376

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