Title of article
Relative infinite-dimensional width of Sobolev classes
Author/Authors
Xiao، نويسنده , , Weiwei، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
8
From page
575
To page
582
Abstract
In this paper, in order to consider the problems of relative width of Sobolev classes W p r on R in L P , we propose the definition of relative infinite-dimensional width which combines the ideas of the relative width and the infinite-dimensional width. We determine the exact values of relative infinite-dimensional width for r = 1 , p = 1 or p = ∞ and for r ∈ N , p = 2 .
Keywords
Relative infinite-dimensional width , Sobolev classes , n ? K width , Relative width , Infinite-dimensional width
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561150
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