On a Durrmeyer-type modification of the Exponential sampling series

被引：14
作者：
Bardaro, Carlo [1 ]
Mantellini, Ilaria [1 ]
机构：
[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 03期
关键词：
Exponential sampling Durrmeyer series; Mellin derivatives; Moments; Voronovskaja formula; Modulus of continuity; PALEY-WIENER THEOREM; APPROXIMATION; TRANSFORMS; FORMULAS; IMAGES;
D O I：
10.1007/s12215-020-00559-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce the exponential sampling Durrmeyer series. We discuss pointwise and uniform convergence properties and an asymptotic formula of Voronovskaja type. Quantitative results are given, using the usual modulus of continuity for uniformly continuous functions. Some examples are also described.
引用
收藏
页码：1289 / 1304
页数：16
相关论文
共 31 条
[1]   A Characterization of the Absolute Continuity in Terms of Convergence in Variation for the Sampling Kantorovich Operators [J].
Angeloni, Laura ;
Costarelli, Danilo ;
Vinti, Gianluca .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (02)
[2]   Detection of thermal bridges from thermographic images by means of image processing approximation algorithms [J].
Asdrubali, Francesco ;
Baldinelli, Giorgio ;
Bianchi, Francesco ;
Costarelli, Danilo ;
Rotili, Antonella ;
Seracini, Marco ;
Vinti, Gianluca .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 317 :160-171
[3]   On Linear Combinations of General Exponential Sampling Series [J].
Balsamo, Simona ;
Mantellini, Ilaria .
RESULTS IN MATHEMATICS, 2019, 74 (04)
[4]  
Bardaro C., 2007, Sampling Theory in Signal and Image Processing, V6, P29
[5]   The Exponential Sampling Theorem of Signal Analysis and the Reproducing Kernel Formula in the Mellin Transform Setting [J].
Carlo Bardaro ;
Paul Leo Butzer ;
Ilaria Mantellini .
Sampling Theory in Signal and Image Processing, 2014, 13 (1) :35-66
[6]  
Bardaro C., 2014, Jaen Journal on Approximation, V6, P143
[7]   Exponential Sampling Series: Convergence in Mellin-Lebesgue Spaces [J].
Bardaro, Carlo ;
Mantellini, Ilaria ;
Schmeisser, Gerhard .
RESULTS IN MATHEMATICS, 2019, 74 (03)
[8]   A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces [J].
Bardaro, Carlo ;
Butzer, Paul L. ;
Mantellini, Ilaria ;
Schmeisser, Gerhard .
MATHEMATISCHE NACHRICHTEN, 2017, 290 (17-18) :2759-2774
[9]   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
[10]   On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators [J].
Bardaro, Carlo ;
Mantellini, Ilaria .
RESULTS IN MATHEMATICS, 2017, 72 (03) :1449-1472
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