Jackson Theorems for the Quaternion Linear Canonical transform

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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
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关键词
Quaternion linear canonical transform; Generalized modulus of continuity; Dini–Lipschitz class; Bernstein theorem; Jackson’s theorem; Primary 43A62; 42B10; Secondary 42B37;
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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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