Jackson theorem in Lp,0<p<1, for functions on the sphere期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Jackson theorem in Lp,0

Authors:	F. Dai Z. Ditzian

Affiliation:	Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

Abstract:	The best approximation of functions in $L_{p} (S^{d ? 1}), 0 < p < 1$ by spherical harmonic polynomials is shown to be bounded by a modulus of smoothness recently introduced by the second author.

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