polynomials;
Markov inequalities;
harmonic and subharmonic functions;
D O I:
10.1006/jath.1999.3363
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Upper bounds of the exact order of magnitude in n are given for max(-1 less than or equal to x less than or equal to 1)\p'(x)\/max(-1 less than or equal to x less than or equal to 1)\p(x)\ for polynomials p of degree n, free of zeros in certain regions containing the interval (-1, 1). (C) 1999 Academic Press.
机构:
China Jiliang Univ, Dept Informat & Math Sci, Hangzhou 310018, Zhejiang, Peoples R ChinaChina Jiliang Univ, Dept Informat & Math Sci, Hangzhou 310018, Zhejiang, Peoples R China
Cao, Feilong
Lin, Shaobo
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机构:
Hangzhou Normal Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R ChinaChina Jiliang Univ, Dept Informat & Math Sci, Hangzhou 310018, Zhejiang, Peoples R China
机构:
Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain
Inst Ciencias Matemat ICMAT, Campus Cantoblanco UAM,C Nicolas Cabrera 13-15, Madrid 28049, SpainUniv Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain
Marcellan, Francisco
Quintana, Yamilet
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机构:
Univ Simon Bolivar, Dept Matemat Puras & Aplicadas, Edificio Matemat & Sistemas MYS, Caracas 1080A, Caracas, VenezuelaUniv Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain
Quintana, Yamilet
Rodriguez, Jose M.
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机构:
Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, SpainUniv Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain