Sharp Inequalities for Trigonometric Polynomials With Respect to Integral Functionals

被引：0
|
作者：
Arestov, V. V. [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Phys Mat Sci, Moscow, Russia
[2] Russian Acad Sci, Inst Math & Mech, Ural Branch, Moscow, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2010年 / 16卷 / 04期
关键词：
sharp inequalities for trigonometric polynomials; integral functional; trigonometric polynomials that deviate the least from zero;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem on sharp inequalities for linear operators on the set of trigonometric polynomials with respect to integral functionals integral(2 pi)(0)phi(vertical bar f(x)vertical bar)dx is discussed. A solution of the problem on trigonometric polynomials with given leading harmonic that deviate the least from zero with respect to such functionals over the set of all functions phi determined, nonnegative, and nondecreasing on the semi-axis [0, +infinity) is given.
引用
收藏
页码：38 / 53
页数：16
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