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

[1] ON SHARPLY DI K-TRANSITIVE PERMUTATION SETS (K-GREATER-THAN-OR-EQUAL-TO-3)
ROSATI, LA
GEOMETRIAE DEDICATA, 1987, 24 (03) : 261 - 267
[2] TOWERS OF HANOI PROBLEM WITH ARBITRARY K-GREATER-THAN-OR-EQUAL-TO-3 PEGS
LU, XM
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1988, 24 (01) : 39 - 54
[3] ON APPROXIMATION BY HARMONIC POLYNOMIALS IN THE C(1)-NORM ON COMPACT-SETS IN R(2)
PARAMONOV, PV
RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS, 1994, 42 (02): : 321 - 331
[4] SOME PROPERTIES OF CLOSED-NET-DIAGRAMS OF N+K(K-GREATER-THAN-OR-EQUAL-TO-3) PHASE MULTISYSTEMS
GUO, QT
CAI, C
SCIENTIA SINICA SERIES B-CHEMICAL BIOLOGICAL AGRICULTURAL MEDICAL & EARTH SCIENCES, 1982, 25 (07) : 756 - 764
[5] CONSTRUCTION OF GEODETIC AND BIGEODETIC BLOCKS OF CONNECTIVITY K-GREATER-THAN-OR-EQUAL-TO-3 AND THEIR RELATION TO BLOCK-DESIGNS
SRINIVASAN, N
OPATRNY, J
ALAGAR, VS
ARS COMBINATORIA, 1987, 24 : 101 - 114
[6] NONEXISTENCE OF COMPLETE SUFFICIENT STATISTICS FOR STATIONARY K-STATE MARKOV-CHAINS, K-GREATER-THAN-OR-EQUAL-TO-3
WRIGHT, AL
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1980, 32 (01) : 95 - 97
[7] Uniform approximation by harmonic functions on compact subsets of ℝ3
M. Ya. Mazalov
Journal of Mathematical Sciences, 2012, 182 (5) : 674 - 689
[8] Criterion of uniform approximability by harmonic functions on compact sets in ℝ3
M. Ya. Mazalov
Proceedings of the Steklov Institute of Mathematics, 2012, 279 : 110 - 154
[9] BETTER THAN UNIFORM APPROXIMATION ON CLOSED-SETS BY HARMONIC-FUNCTIONS WITH SINGULARITIES
ARMITAGE, DH
GOLDSTEIN, M
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1990, 60 : 319 - 343
[10] A CHARACTERIZATION OF SOME (3V(MU+1), 3V(MU) K-1, Q) MINIHYPERS AND SOME [N, K, Q(K-1)-3Q(MU), Q] CODES (K-GREATER-THAN-OR-EQUAL-TO-3, Q-GREATER-THAN-OR-EQUAL-TO-5, 1-LESS-THAN-OR-EQUAL-TO-MU-LESS-THAN-K-1) MEETING THE GRIESMER BOUND
HAMADA, N
HELLESETH, T
DISCRETE MATHEMATICS, 1995, 146 (1-3) : 59 - 67

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