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

共 50 条

[41] The Modified Kontorovich-Lebedev Transform and its Application to Solving Canonical Problems of Diffraction
Shanin, A. V.
Valyaev, V. Yu.
ACOUSTICAL PHYSICS, 2011, 57 (06) : 772 - 778
[42] On the least values of Lp-norms for the Kontorovich-Lebedev transform and its convolution
Yakubovich, SB
JOURNAL OF APPROXIMATION THEORY, 2004, 131 (02) : 231 - 242
[43] Time-Dependent Problems for a Wedge via Kontorovich-Lebedev's Transform
Vieira, N.
Yakubovich, S.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (03) : 671 - 680
[44] Parseval-Goldstein type theorems for the Kontorovich-Lebedev transform and the Mehler-Fock transform of general order
Maan, Jeetendrasingh
Negrin, E. R.
FILOMAT, 2024, 38 (19) : 6691 - 6701
[45] Localization operators associated with the Kontorovich–Lebedev wavelet transform
Abdelaali Dades
Radouan Daher
Boletín de la Sociedad Matemática Mexicana, 2022, 28
[46] The Kontorovich-Lebedev-Clifford Transform
Prasad, Akhilesh
Mandal, U. K.
FILOMAT, 2021, 35 (14) : 4811 - 4824
[47] Discrete Kontorovich-Lebedev transforms
Yakubovich, Semyon
RAMANUJAN JOURNAL, 2021, 55 (02): : 517 - 538
[48] KONTOROVICH-LEBEDEV TRANSFORMATION OF DISTRIBUTIONS
PATHAK, RS
PANDEY, JN
MATHEMATISCHE ZEITSCHRIFT, 1979, 165 (01) : 29 - 51
[49] Multidimensional Kontorovich-Lebedev transforms
Yakubovich, Semyon
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (02) : 123 - 141
[50] A Complete Expansion Set for Free-Space Green Function Using Kontorovich-Lebedev Transform
Salem, Mohamed A.
Caloz, Christophe
2015 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 2015, : 1618 - 1619

← 1 2 3 4 5 →