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

[11] Order of Approximation for Exponential Sampling Type Neural Network Operators
Shivam Bajpeyi
Results in Mathematics, 2023, 78
[12] Order of Approximation for Exponential Sampling Type Neural Network Operators
Bajpeyi, Shivam
RESULTS IN MATHEMATICS, 2023, 78 (03)
[13] Direct and Inverse Results for Kantorovich Type Exponential Sampling Series
Sathish Kumar Angamuthu
Shivam Bajpeyi
Results in Mathematics, 2020, 75
[14] Approximation by exponential sampling type neural network operators
Bajpeyi, Shivam
Kumar, A. Sathish
ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (03)
[15] The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics
Bardaro, Carlo
Butzer, Paul L.
Mantellini, Ilaria
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 27 (01) : 17 - 29
[16] On a Durrmeyer-type modification of the Exponential sampling series
Carlo Bardaro
Ilaria Mantellini
Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 1289 - 1304
[17] On a Durrmeyer-type modification of the Exponential sampling series
Bardaro, Carlo
Mantellini, Ilaria
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (03) : 1289 - 1304
[18] Pointwise convergence of generalized Kantorovich exponential sampling series
Acar, Tuncer
Kursun, Sadettin
DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2023, 16 : 1 - 10
[19] Approximation by sampling Kantorovich series in weighted spaces of functions
Acar, Tuncer
Alagoz, Osman
Aral, Ali
Costarelli, Danilo
Turgay, Metin
Vinti, Gianluca
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (07) : 2663 - 2676
[20] Exponential Sampling Series: Convergence in Mellin-Lebesgue Spaces
Bardaro, Carlo
Mantellini, Ilaria
Schmeisser, Gerhard
RESULTS IN MATHEMATICS, 2019, 74 (03)

← 1 2 3 4 5 →