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Average σ- K Width of Convolution Function Class of L(IR) in L
2
(IR).
Received:December 28, 1992
Key Words
:
average σ- K width
optmal subspace
average dimension
convolutionclass .
Fund Project
:
Supported by National Natural Youth Science Fund of China.
Author Name
Affiliation
Liu Yongping
Dept. of Math.
Beijing Normal Univ.
Beijing 100875
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:
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:
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Abstract
:
In this paper, we study the average σ- K widths of the convolution classesof functions of L(IR) in L
2
(IR) and obtain some exact results. Meanwhile, for the non-convolution case, we also obtain some asymptotic results.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1995.02.008
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