Jackson Theorems for the Quaternion Linear Canonical transform

被引：7
|
作者：
Achak, A. [1 ]
Ahmad, O. [2 ]
Belkhadir, A. [3 ]
Daher, R. [3 ]
机构：
[1] Univ Chouaib Doukkali, Ecole Super Educ & Format, El Jadida, Morocco
[2] Natl Inst Technol Srinagar, Dept Math, Srinagar 190006, Jammu & Kashmir, India
[3] Ain Chock Univ Hassan II, Dept Math, Fac Sci, Casablanca 20100, Morocco
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2022年 / 32卷 / 03期
关键词：
Quaternion linear canonical transform; Generalized modulus of continuity; Dini-Lipschitz class; Bernstein theorem; Jackson's theorem; UNCERTAINTY PRINCIPLES; FRACTIONAL FOURIER;
D O I：
10.1007/s00006-022-01226-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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
页数：19
相关论文
共 50 条
  • [41] The ambiguity function associated with the linear canonical transform
    Che, Tian-Wen
    Li, Bing-Zhao
    Xu, Tian-Zhou
    EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2012,
  • [42] Sampling and series expansion for linear canonical transform
    Wei, Deyun
    Li, Yuan-Min
    SIGNAL IMAGE AND VIDEO PROCESSING, 2014, 8 (06) : 1095 - 1101
  • [43] 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
  • [44] A new convolution theorem associated with the linear canonical transform
    Huo, Haiye
    SIGNAL IMAGE AND VIDEO PROCESSING, 2019, 13 (01) : 127 - 133
  • [45] Discrete Windowed Linear Canonical Transform
    Zhang, Qingyue
    2016 IEEE INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, COMMUNICATIONS AND COMPUTING (ICSPCC), 2016,
  • [46] Sliding Discrete Linear Canonical Transform
    Sun, Yan-Nan
    Li, Bing-Zhao
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2018, 66 (17) : 4553 - 4563
  • [47] Sampling and discretization of the linear canonical transform
    Healy, John J.
    Sheridan, John T.
    SIGNAL PROCESSING, 2009, 89 (04) : 641 - 648
  • [48] Segmented fast linear canonical transform
    Sun, Yan-Nan
    Li, Bing-Zhao
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2018, 35 (08) : 1346 - 1355
  • [49] 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
  • [50] 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
12345