Jackson Theorems for the Quaternion Linear Canonical transform

被引：0
|
作者：
A. Achak
O. Ahmad
A. Belkhadir
R. Daher
机构：
[1] University Chouaib Doukkali,Ecole Supérieure d’Education et Formation
[2] National Institute of Technology Srinagar,Department of Mathematics
[3] Ain Chock University of Hassan II,Department of Mathematics, Faculty of Sciences
来源：
Advances in Applied Clifford Algebras | 2022年 / 32卷
关键词：
Quaternion linear canonical transform; Generalized modulus of continuity; Dini–Lipschitz class; Bernstein theorem; Jackson’s theorem; Primary 43A62; 42B10; Secondary 42B37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish Bernstein inequality, Jackson’s direct and inverse theorems for quaternion linear canonical transform using the functions with bounded spectrum.
引用
收藏
相关论文
共 40 条
  • [31] Titchmarsh’s theorems, K-functional and Jackson’s theorems for the free metaplectic transform
    Abdelhak Belkhadir
    Radouan Daher
    Najat Safouane
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 3325 - 3343
  • [32] Titchmarsh's theorems, K-functional and Jackson's theorems for the free metaplectic transform
    Belkhadir, Abdelhak
    Daher, Radouan
    Safouane, Najat
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (07) : 3325 - 3343
  • [33] Quaternionic Linear Canonical Wave Packet Transform
    Younis Ahmad Bhat
    N. A. Sheikh
    Advances in Applied Clifford Algebras, 2022, 32
  • [34] Quaternionic Linear Canonical Wave Packet Transform
    Bhat, Younis Ahmad
    Sheikh, N. A.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (04)
  • [35] Quaternion Wigner-Ville distribution associated with the linear canonical transforms
    Fan, Xiang-Li
    Kou, Kit Ian
    Liu, Ming-Sheng
    SIGNAL PROCESSING, 2017, 130 : 129 - 141
  • [36] Quaternionic one-dimensional linear canonical transform
    Saima, Siddiqui
    Li, Bing-Zhao
    OPTIK, 2021, 244
  • [37] Jackson and Bernstein theorems for the weight exp(−|x|) on ℝ
    D. S. Lubinsky
    Israel Journal of Mathematics, 2006, 153 : 193 - 219
  • [38] Generalized sampling expansions associated with quaternion Fourier transform
    Cheng, Dong
    Kou, Kit Ian
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (11) : 4021 - 4032
  • [39] ON ESTIMATES FOR THE CANONICAL LINEAR FOURIER-BESSEL TRANSFORM IN THE SPACE Lp(R+, x2α+1dx) (1 < p≤ 2)
    Akhlidj, Akhlidj
    Sadiq, Zakaria
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (03): : 509 - 517
  • [40] On estimates for the quaternion linear canonical transform in the space L2(R2,H)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})$$\end{document}
    A. Achak
    A. Akhlidj
    R. Daher
    A. Jaafari
    Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 (4): : 1701 - 1714
1234