Polynomial Inequalities with an Exponential Weight on (0,+∞)

被引：6

作者：

Mastroianni, Giuseppe ^{[1
]}

Notarangelo, Incoronata ^{[1
]}

Szabados, Jozsef ^{[2
]}

机构：

[1] Univ Basilicata, Dept Math & Comp Sci, I-85100 Potenza, Italy

[2] Alfred Renyi Inst Math, H-1364 Budapest, Hungary

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 02期

关键词：

Weighted polynomial inequalities; exponential weights; real semiaxis; unbounded intervals; Remez inequality; Bernstein-Markoff inequalities; Schur inequality; Nikolskii inequalities; APPROXIMATION;

D O I：

10.1007/s00009-012-0231-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the weight , with , alpha > 0, beta > 1 and gamma a parts per thousand yen 0 and prove Remez-, Bernstein-Markoff-, Schurand Nikolskii-type inequalities for algebraic polynomials with the weight u on (0, + infinity).

引用

页码：807 / 821

页数：15

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