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1. Strong Approximation by Cesàro Means with Critical Index in the Hardy SpacesHp(0<pࣘ 1).

Author

Feng Dai and Kun Wang

Subjects
*APPROXIMATION theory, *FUNCTIONAL analysis, *HARDY spaces, *COMPLEX variables, *EUCLIDEAN algorithm, *MATHEMATICS
Abstract

Letbe a unit sphere of thed-dimensional Euclidean space Rd and let(0 < p= 1) denote the real Hardy space onFor 0 < p= 1 andletEj(f,Hp) (j= 0, 1, ...) be the best approximation offby spherical polynomials of degree less than or equal toj, in the spaceGiven a distributionfonits Cesàro mean of order d>-1 is denoted byFor 0

Published
2005
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