Jackson theorem in Lp, 0 < p < 1, for functions on the sphere

被引：4
作者：
Dai, F. [1 ]
Ditzian, Z. [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
JOURNAL OF APPROXIMATION THEORY | 2010年 / 162卷 / 02期
关键词：
Spherical harmonic polynomials; Modulus of smoothness; APPROXIMATION; INEQUALITY; SPACES;
D O I：
10.1016/j.jat.2009.06.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The best approximation of functions in L-p(Sd-1), 0 < p < 1 by spherical harmonic polynomials is shown to be bounded by a modulus of smoothness recently introduced by the second author. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：382 / 391
页数：10
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