Remez-Type and Nikol'skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials

被引:8
作者
Temlyakov, V. [1 ,2 ]
Tikhonov, S. [3 ,4 ,5 ]
机构
[1] Univ South Carolina, Columbia, SC 29208 USA
[2] Steklov Inst Math, Moscow, Russia
[3] Ctr Recerca Matemat, Campus Bellaterra,Edifici C, Barcelona 08193, Spain
[4] ICREA, Pg Lluis Co 23, Barcelona 08010, Spain
[5] Univ Autonoma Barcelona, Barcelona, Spain
关键词
Remez-type inequalities; Nikol'skii-type inequalities; Hyperbolic cross polynomials; TRIGONOMETRIC POLYNOMIALS;
D O I
10.1007/s00365-017-9370-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the Remez-type and Nikol'skii-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between these inequalities for individual functions and its applications are discussed.
引用
收藏
页码:593 / 615
页数:23
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