Jackson Theorems for the Quaternion Linear Canonical transform

被引：6

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

页数：19

共 50 条

[31] Plancherel Theorems of Quaternion Hilbert Transforms Associated with Linear Canonical Transforms
Kit Ian Kou
Ming-Sheng Liu
Cuiming Zou
Advances in Applied Clifford Algebras, 2020, 30
[32] Hardy Type Theorems for Linear Canonical Dunkl Transform
Ahmed Saoudi
Complex Analysis and Operator Theory, 2024, 18
[33] Hardy Type Theorems for Linear Canonical Dunkl Transform
Saoudi, Ahmed
COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (03)
[34] Uncertainty Principles for the Two-Sided Quaternion Linear Canonical Transform
Xiaoyu Zhu
Shenzhou Zheng
Circuits, Systems, and Signal Processing, 2020, 39 : 4436 - 4458
[35] Quaternion offset linear canonical transform in one-dimensional setting
Bhat, M. Younus
Dar, Aamir H.
JOURNAL OF ANALYSIS, 2023, 31 (04): : 2613 - 2622
[36] Convolution, Correlation, and Uncertainty Principles for the Quaternion Offset Linear Canonical Transform
Urynbassarova, Didar
Teali, Aajaz A.
MATHEMATICS, 2023, 11 (09)
[37] Quaternion Windowed Linear Canonical Transform of Two-Dimensional Signals
Gao, Wen-Biao
Li, Bing-Zhao
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2020, 30 (01)
[38] Quaternion Windowed Linear Canonical Transform of Two-Dimensional Signals
Wen-Biao Gao
Bing-Zhao Li
Advances in Applied Clifford Algebras, 2020, 30
[39] Quaternion linear canonical S-transform and associated uncertainty principles
Younus Bhat, M.
Dar, Aamir H.
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2023, 21 (01)
[40] Uncertainty Principles for the Two-Sided Quaternion Linear Canonical Transform
Zhu, Xiaoyu
Zheng, Shenzhou
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2020, 39 (09) : 4436 - 4458

← 1 2 3 4 5 →