Tikhonov regularisation for the Weierstrass transform associated with the Kontorovich-Lebedev transform

被引：2

作者：

Dziri, Moncef ^{[1
]}

Kroumi, Anis ^{[1
]}

机构：

[1] Univ Carthage, Fac Sci Bizerte, Dept Math, Carthage, Tunisia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 07期

关键词：

Weierstrass transform; best approximation; Kontorovich-Lebbedev transform; Macdonald function; reproducing kernel; extremal function;

D O I：

10.1080/17476933.2022.2038584

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the best approximations and the theory of reproducing kernels, we will give real inversion formulas for the Weierstrass transform associated with the Kontorovich-Lebedev transform, and we will check the estimates of extremal functions.

引用

页码：1119 / 1131

页数：13

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