On the mean convergence of Fourier–Jacobi series

被引：0

作者：

V. P. Motornyi

S. V. Goncharov

P. K. Nitiema

机构：

[1] Dnepropetrovsk National University,

[2] Burkina Faso University,undefined

来源：

Ukrainian Mathematical Journal | 2010年 / 62卷

关键词：

Nauk SSSR; Fourier Series; Orthogonal Polynomial; Legendre Polynomial; Jacobi Polynomial;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The convergence of Fourier–Jacobi series in the spaces Lp,A,B is studied in the case where the Lebesgue constants are unbounded.

引用

页码：943 / 960

页数：17

共 50 条

[1] Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces L1,A,B
O. V. Motornaya
V. P. Motornyi
Ukrainian Mathematical Journal, 2014, 66 : 289 - 299
[2] Mean and almost everywhere convergence of Fourier-Neumann series
Ciaurri, O
Guadalupe, JJ
Pérez, M
Varona, JL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 236 (01) : 125 - 147
[3] A Note on L1-Convergence of Fourier Series with Riesz Mean
Ozarslan, H. S.
Sakar, M. o.
MATHEMATICAL NOTES, 2024, 115 (3-4) : 371 - 377
[4] On Fourier Series in the Context of Jacobi Matrices
Matos, Jose M. A.
Vasconcelos, Paulo B.
Matos, Jose A. O.
AXIOMS, 2024, 13 (09)
[5] The Uniform Convergence of Fourier Series in a System of the Sobolev Orthogonal Polynomials Associated to Ultraspherical Jacobi Polynomials
Magomed-Kasumov, M. G.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (06) : 1343 - 1358
[6] Uniform convergence of Fourier series via deferred Cesaro mean and its applications
Jena, Bidu Bhusan
Paikray, Susanta Kumar
Mursaleen, M.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 5286 - 5298
[7] The Uniform Convergence of Fourier Series in a System of Polynomials Orthogonal in the Sense of Sobolev and Associated to Jacobi Polynomials
M. G. Magomed-Kasumov
Siberian Mathematical Journal, 2023, 64 : 338 - 346
[8] The Uniform Convergence of Fourier Series in a System of Polynomials Orthogonal in the Sense of Sobolev and Associated to Jacobi Polynomials
Magomed-Kasumov, M. G.
SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (02) : 338 - 346
[9] An estimate of the rate of convergence of Fourier series in the generalized Holder metric by Deferred Cesaro Mean
Nayak, L.
Das, G.
Ray, B. K.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 420 (01) : 563 - 575
[10] On approximation of the rate of convergence of Fourier series in the generalized Holder metric by Deferred Norlund mean
Pradhan, T.
Jena, B. B.
Paikray, S. K.
Dutta, H.
Misra, U. K.
AFRIKA MATEMATIKA, 2019, 30 (7-8) : 1119 - 1131

← 1 2 3 4 5 →