On the exact asymptotics of the best relative approximations of classes of periodic functions by splines

被引：0
作者：
Parfinovich N.V. [1 ]
机构：
[1] Dnepropetrovsk University, Dnepropetrovsk
来源：
Ukrainian Mathematical Journal | 2001年 / 53卷 / 4期
关键词：
Periodic Function; Relative Approximation; Polynomial Spline; Exact Asymptotics;
D O I：
10.1023/A:1012322504060
中图分类号：
学科分类号：
摘要：
We obtain the exact asymptotics (as n →∞) of the best Ll -approximations of classes W1r of periodic functions by splines sεS2n,r-1 and sεS2n,r+h-1 is the set of 2π-periodic polynomial splines of order r and defect 1 with nodes at the points kπln, kεZ) under certain restrictions on their derivatives. © 2001 Plenum Publishing Corporation.
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页码：555 / 568
页数：13
相关论文
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