On the approximation by modified interpolation polynomials in spaces L p

被引：2

作者：

Metelichenko A.B. ^{[1
]}

机构：

[1] Odessa University, Odessa

来源：

Ukrainian Mathematical Journal | 2004年 / 56卷 / 1期

关键词：

Original Function; Interpolation Polynomial; Modify Interpolation;

D O I：

10.1023/B:UKMA.0000031704.59635.ea

中图分类号：

学科分类号：

摘要：

We consider certain modified interpolation polynomials for functions from the space L p[0, 2π], 1 ≤ p ≤ ∞. An estimate for the rate of approximation of an original function f by these polynomials in terms of its modulus of continuity is obtained. We establish that these polynomials converge almost everywhere to f. © 2004 Plenum Publishing Corporation.

引用

页码：86 / 95

页数：9

共 8 条

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