ON L~1-APPROXIMATION OF THE FUNCTIONS WITH QUASI-MONOTONE FOURIER COEFFICIENTS

被引：0

作者：

谢庭藩 ^{[1
]}

机构：

[1] Hangzhou University

来源：

Science Bulletin | 1983年 / 03期

关键词：

ON L~1-APPROXIMATION OF THE FUNCTIONS WITH QUASI-MONOTONE FOURIER COEFFICIENTS;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

be the Fourier series of function f∈Land let s(f, x) and σ(f, x) be its nth Fourier sum and nth Fejèr sum respectively. We denote by

引用

页码：294 / 297

页数：4

共 50 条

[21] General monotone functions and their Fourier coefficients
Booton, Barry
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (02) : 805 - 823
[22] A Matrix Application of Quasi-monotone Sequences to Infinite Series and Fourier Series
Yildiz, Sebnem
[J]. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
[23] Hardy-type integral inequalities for quasi-monotone functions
Jain, Pankaj
Singh, Monika
Singh, Arun Pal
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (04) : 523 - 533
[24] A PROBLEM ON APPROXIMATION BY FOURIER SUMS WITH MONOTONE COEFFICIENTS
ZHOU, SP
[J]. JOURNAL OF APPROXIMATION THEORY, 1990, 62 (02) : 274 - 276
[25] The Direct Theorem of the Theory of Approximation of Periodic Functions with Monotone Fourier Coefficients in Different Metrics
N. A. Il’yasov
[J]. Proceedings of the Steklov Institute of Mathematics, 2018, 303 : 100 - 114
[26] The inverse theorem in various metrics of approximation theory for periodic functions with monotone Fourier coefficients
Il'yasov, N. A.
[J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (04): : 153 - 162
[27] The Direct Theorem of the Theory of Approximation of Periodic Functions with Monotone Fourier Coefficients in Different Metrics
Il'yasov, N. A.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018, 303 : 100 - 114
[28] EXTRAPOLATION THEOREMS IN LEBESGUE AND GRAND LEBESGUE SPACES FOR QUASI-MONOTONE FUNCTIONS
Singh, Arun Pal
Panchal, Rahul
Jain, Pankaj
Singh, Monika
[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2023, 177 (02) : 275 - 288
[29] L 1-approximation rate of certain trigonometric series
Le, R. J.
Zhou, S. P.
[J]. ACTA MATHEMATICA HUNGARICA, 2012, 134 (1-2) : 29 - 44
[30] L 1-Approximation and Finding Solutions with Small Support
Benyamini, Y.
Kroo, A.
Pinkus, A.
[J]. CONSTRUCTIVE APPROXIMATION, 2012, 36 (03) : 399 - 431

← 1 2 3 4 5 →