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
收藏
页码：807 / 821
页数：15
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