APPROXIMATION OF FUNCTIONS ON [-1,1] AND THEIR DERIVATIVES BY POLYNOMIAL PROJECTION OPERATORS

被引：2

作者：

BALAZS, K ^{[1
]}

KILGORE, T ^{[1
]}

机构：

[1] BUDAPEST UNIV ECON,H-1828 BUDAPEST,HUNGARY

来源：

MATHEMATISCHE NACHRICHTEN | 1993年 / 162卷

关键词：

D O I：

10.1002/mana.19931620104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Pointwise estimates are obtained for the simultaneous approximation of a function f is-an-element-of C(q)[-1, 1] and its derivatives f(1), ..., f(q) by means of an arbitrary sequence of bounded linear projection operators L(n) which map C[-1, 1] into the polynomials of degree at most n, augmented by the interpolation off at some points near +/- 1.

引用

页码：39 / 44

页数：6

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