A NOTE ON THE CONVERGENCE OF WAVELET FOURIER SERIES

被引：0

作者：

Karanjgaokar, Varsha ^{[1
]}

Shrivastav, Namrata

Mishra, Vishnu Narayan ^{[2
]}

机构：

[1] Govt NPG Coll Sci Raipur, Dept Math, Raipur, Chhattisgarh, India

[2] Indira Gandhi Natl Tribal Univ, Dept Math, Amarkantak 484887, MP, India

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2023年 / 177卷 / 01期

关键词：

Wavelet Fourier series; Convergence and divergence of series and sequences; Periodic multi resolution analysis; Rate of convergence of wavelet series;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the rate of convergence of Wavelet Fourier series of periodic functions. Our result generalizes the results of M. Skopina [13] [Localisation Principle for wavelet expansion, self seminar system, Proceedings of the International Workshop, Dubna, (1999), 125-133] and V. Karanjgaokar [5] et al. [On the rate of Convergence of Wavelet Fourier Series, Jnanabha, 51(1) (2021), 12-18], by introducing a general monotonically decreasing function P-n(x), satisfying certain conditions.

引用

页码：77 / 83

页数：7

共 50 条

[1] A NOTE ON ABSOLUTE CONVERGENCE OF FOURIER SERIES
YANO, K
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (02): : 65 - &
[2] A NOTE ON THE CONVERGENCE OF FOURIER SERIES ON COMPACT GROUPS
RABSON, G
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (06) : 645 - 646
[3] A NOTE ON THE ABSOLUTE CONVERGENCE OF LACUNARY FOURIER-SERIES
PATEL, NV
SHAH, VM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 93 (03) : 433 - 439
[4] On Changes of Variable Preserving the Convergence and Absolute Convergence of Fourier Series in the Haar Wavelet System
K. R. Bitsadze
[J]. Mathematical Notes, 2020, 108 : 162 - 170
[5] Note concerning the absolute convergence of the Fourier-Laplace series
Wu, Yao-hong
Zhang, Xi-rong
[J]. Xiangtan Kuangye Xueyuan Xuebao/Journal of Xiangtan Mining Institute, 2000, 15 (02): : 87 - 90
[6] On Changes of Variable Preserving the Convergence and Absolute Convergence of Fourier Series in the Haar Wavelet System
Bitsadze, K. R.
[J]. MATHEMATICAL NOTES, 2020, 108 (1-2) : 162 - 170
[7] NOTE ON THE CONVERGENCE OF FOURIER-SERIES IN THE SPACES LAMBDA(OMEGA)RHO
KROTOV, VG
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 1979, 41 (3-4): : 335 - 338
[8] A Note on L1-Convergence of Fourier Series with Riesz Mean
Ozarslan, H. S.
Sakar, M. o.
[J]. MATHEMATICAL NOTES, 2024, 115 (3-4) : 371 - 377
[9] The convergence of the Fourier series
Young, WH
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1916, 163 : 187 - 190
[10] CONVERGENCE OF FOURIER SERIES
COWLING, VF
[J]. AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (09): : 1035 - &

← 1 2 3 4 5 →