UNIFORM HARMONIC APPROXIMATION ON COMPACT-SETS IN RK,K-GREATER-THAN-OR-EQUAL-TO-3

被引：5

作者：

ANDRIEVSKII, V

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 01期

关键词：

APPROXIMATION; HARMONIC FUNCTION;

D O I：

10.1137/0524013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Estimates of the best uniform approximation of a function f given on some compact set K subset-of R(k), k greater-than-or-equal-to 3, by harmonic polynomials are obtained. The results connect approximation properties of the function f with its structural properties and the geometry of K. This corresponds to well-known results for analytic functions.

引用

页码：216 / 222

页数：7

共 35 条

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[26] RATE-CONSTANT FOR THE O(P-3) + CH4-] OH + CH3 REACTION OBTAINED BY THE FLASH-PHOTOLYSIS SHOCK-TUBE TECHNIQUE OVER THE TEMPERATURE-RANGE 763-GREATER-THAN-OR-EQUAL-TO-T-GREATER-THAN-OR-EQUAL-TO-1755-K
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JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1990, 42 (04) : 565 - 584
[28] On spin irreps of (1 [less-than or equal to] Ii [less-than or equal to] 3) 12-fold uniform NMR spin systems as Sn invariant-based dual tensorial sets: Roles in spin physics for SU(3 [less-than or equal to] m) × Sn contains .. contains Sn weight sets and their {N(λ [turnstile] n)}M-partitional frequency catalogues
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