The Markov brothers inequality in L0-space on an interval

被引:8
作者
Glazyrina, PY [1 ]
机构
[1] AM Gorkii State Univ, Ekaterinburg, Russia
基金
俄罗斯基础研究基金会;
关键词
Markov inequality; algebraic polynomial; uniform norm; Chebyshev polynomial; L-q-metric;
D O I
10.1007/s11006-005-0098-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The exact value of the constant in the Markov brothers inequality in Lo-space is obtained for algebraic polynomials on an interval.
引用
收藏
页码:53 / 58
页数:6
相关论文
共 12 条
[1]  
[Anonymous], 1981, IZV AKAD NAUK SSSR M
[2]  
[Anonymous], 1889, IZV AKAD NAUK STPETE
[3]  
[Anonymous], 1959, TRIGONOMETRIC SERIES
[4]  
BARI NK, 1954, IZV AKAD NAUK SSSR M, V18, P159
[5]  
Bernstein SN, 1952, COLLECTED WORKS, VI
[6]  
Hayman W. K., 1976, Subharmonic Functions
[7]  
Hille E, 1937, DUKE MATH J, V3, P729, DOI [10.1215/S0012-7094-37-00361-2, DOI 10.1215/S0012-7094-37-00361-2]
[8]  
IVANOV VI, 1975, MAT ZAMETKI, V18, P489
[9]  
KONYAGIN SV, 1980, T MAT I STEKLOVA, V145, P117
[10]  
KONYAGIN SV, 1978, DOKL AKAD NAUK SSSR, V243, P1116