Convergence of semi-discrete exponential sampling operators in Mellin-Lebesgue spaces

被引：6
作者：
Bardaro, Carlo [1 ]
Mantellini, Ilaria [1 ]
Tittarelli, Ilenia [1 ]
机构：
[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 01期
关键词：
Mellin-Lebesgue spaces; Exponential sampling Durrmeyer series; Mellin convolutions; Mellin splines; APPROXIMATION;
D O I：
10.1007/s13398-022-01367-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the convergence properties of certain semi-discrete exponential-type sampling series in Mellin-Lebesgue spaces. Also we examine some examples which illustrate the theory developed.
引用
收藏
页数：15
相关论文
共 26 条
  • [1] Direct and Inverse Results for Kantorovich Type Exponential Sampling Series
    Angamuthu, Sathish Kumar
    Bajpeyi, Shivam
    [J]. RESULTS IN MATHEMATICS, 2020, 75 (03)
  • [2] Approximation by generalized bivariate Kantorovich sampling type series
    Angamuthu, Sathish Kumar
    Ponnaian, Devaraj
    [J]. JOURNAL OF ANALYSIS, 2019, 27 (02) : 429 - 449
  • [3] [Anonymous], 1993, Advances in Shannon's sampling theory
  • [4] Generalized Kantorovich forms of exponential sampling series
    Aral, Ali
    Acar, Tuncer
    Kursun, Sadettin
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (02)
  • [5] Approximation by Durrmeyer Type Exponential Sampling Operators
    Bajpeyi, Shivam
    Kumar, A. Sathish
    Mantellini, Ilaria
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (01) : 16 - 34
  • [6] Bardaro C., 2007, Sampling Theory in Signal and Image Processing, V6, P29
  • [7] Bardaro C., 2014, Jaen J. Approx, V6, P143
  • [8] BOUNDEDNESS PROPERTIES OF SEMI-DISCRETE SAMPLING OPERATORS IN MELLIN-LEBESGUE SPACES
    Bardaro, Carlo
    Mantellini, Ilaria
    [J]. MATHEMATICAL FOUNDATIONS OF COMPUTING, 2022, 5 (03): : 219 - 229
  • [9] On a Durrmeyer-type modification of the Exponential sampling series
    Bardaro, Carlo
    Mantellini, Ilaria
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (03) : 1289 - 1304
  • [10] Exponential Sampling Series: Convergence in Mellin-Lebesgue Spaces
    Bardaro, Carlo
    Mantellini, Ilaria
    Schmeisser, Gerhard
    [J]. RESULTS IN MATHEMATICS, 2019, 74 (03)
123