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

页数：19

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