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.
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页数：19
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