Degree of approximation;
Fourier series;
Conjugate function;
H & ouml;
lder class;
Abel-Poisson mean;
FOURIER-SERIES;
CONVERGENCE;
D O I:
10.1007/s13370-024-01190-9
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The degree of approximation (in H & ouml;lder metric) of a periodic function belonging to a specific H & ouml;lder class by its Abel-Poisson means of Fourier series and of the conjugate function by the conjugate Abel-Poisson means of the conjugate series of the Fourier series is obtained.
机构:
Saratov NG Chernyshevskii State Univ, Astrahanskaya St 83, Saratov 410012, RussiaSaratov NG Chernyshevskii State Univ, Astrahanskaya St 83, Saratov 410012, Russia
机构:
Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
St Francis Xavier Univ, Dept Math Stat & Comp Sci, Antigonish, NS B2G 2W5, CanadaHangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
Yu, Dansheng
Zhou, Ping
论文数: 0引用数: 0
h-index: 0
机构:
St Francis Xavier Univ, Dept Math Stat & Comp Sci, Antigonish, NS B2G 2W5, CanadaHangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
Zhou, Ping
Zhou, Songping
论文数: 0引用数: 0
h-index: 0
机构:
Zhejiang Sci & Technol, Inst Math, Hangzhou 310018, Zhejiang, Peoples R ChinaHangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China