On n -widths of a Sobolev function class in Orlicz spaces
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4231-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4231-7 | ||
| 245 | 0 | 0 | |a On n -widths of a Sobolev function class in Orlicz spaces |h [Elektronische Daten] |c [Xiao Wang, Ga Wu] |
| 520 | 3 | |a This paper considers the problem of n-widths of a Sobolev function class Ω ∞ r determined by P r (D) = D σ Π j=1 l (D 2 −t j 2 I) in Orlicz spaces. The relationship between the extreme value problem and width theory is revealed by using the methods of functional analysis. Particularly, as σ = 0 or σ = 1, the exact values of Kolmogorov's widths, Gelfand's widths, and linear widths are obtained respectively, and the related extremal subspaces and optimal linear operators are given. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a n -width |2 nationallicence | |
| 690 | 7 | |a extremal subspace |2 nationallicence | |
| 690 | 7 | |a optimal linear operator |2 nationallicence | |
| 690 | 7 | |a Orlicz space |2 nationallicence | |
| 700 | 1 | |a Wang |D Xiao |u College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, 010070, Huhhot, P. R. China |4 aut | |
| 700 | 1 | |a Wu |D Ga |u College of Mathematics Science, Inner Mongolia Normal University, 010022, Huhhot, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1475-1486 |x 1439-8516 |q 31:9<1475 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4231-7 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4231-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wang |D Xiao |u College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, 010070, Huhhot, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wu |D Ga |u College of Mathematics Science, Inner Mongolia Normal University, 010022, Huhhot, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1475-1486 |x 1439-8516 |q 31:9<1475 |1 2015 |2 31 |o 10114 | ||