A GENERALIZATION OF THE EXPONENTIAL SAMPLING SERIES AND ITS APPROXIMATION PROPERTIES

被引：37

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

共 50 条

[41] On q-analoques of divergent and exponential series
Matala-Aho, Tapani
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2009, 61 (01) : 291 - 313
[42] A generalization of the Bohr inequality and its applications
Kumar, Shankey
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (06) : 963 - 973
[43] Statistical modelling of agrometeorological time series by exponential smoothing
Murat, Malgorzata
Malinowska, Iwona
Hoffmann, Holger
Baranowski, Piotr
INTERNATIONAL AGROPHYSICS, 2016, 30 (01) : 57 - 65
[44] Fast Analytic Sampling Approximation from Cauchy Kernel
Li, Youfa
Shang, Jing
Yang, Honglei
Zhang, Gengrong
Yang, Shouzhi
JOURNAL OF FUNCTION SPACES, 2016, 2016
[45] Approximation of multidimensional stochastic processes from average sampling
Song, Zhanjie
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[46] Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions
Alagoz, Osman
Turgay, Metin
Acar, Tuncer
Parlak, Merve
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (10) : 1223 - 1239
[47] Forecasting correlated time series with exponential smoothing models
Corberan-Vallet, Ana
Bermudez, Jose D.
Vercher, Enriqueta
INTERNATIONAL JOURNAL OF FORECASTING, 2011, 27 (02) : 252 - 265
[48] ENERGY BLOWUP OF SAMPLING-BASED APPROXIMATION METHODS
Boche, Holger
Pohl, Volker
2019 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2019, : 5082 - 5086
[49] Approximation properties of β-expansions
Baker, Simon
ACTA ARITHMETICA, 2015, 168 (03) : 269 - 287
[50] Convergence properties of Durrmeyer-type sampling operators
Sharma, Vaibhav
Gupta, Vijay
COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (07)

← 1 2 3 4 5 →