INFINITE-DIMENSIONAL WIDTHS IN THE SPACES OF FUNCTION (Ⅰ)

INFINITE-DIMENSIONAL WIDTHS IN THE SPACES OF FUNCTION (Ⅰ)

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摘要 Ⅰ. INTRODUCTION AND DEFINITIONLet r be a positive integer and p∈[1, +∞]. We consider the following Sobolev function classes over the real line R, Wpr（R）:={f∈Lp（R）: fr-1 is locally absolutely continuous on

作者李淳

机构地区 Institute of Mathematics

出处《Chinese Science Bulletin》 SCIE EI CAS 1990年第16期1326-1330,共5页

关键词 infinite-dim ensional WIDTHS SOBOLEV FUNCTION classes cardinal spline. infinite-dim ensional widths, Sobolev function classes, cardinal spline.

分类号 N [自然科学总论]

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1陈迪荣.n-WIDTHS OF SOME CLASSES OF PERIODIC FUNCTIONS[J].Science China Mathematics,1992,35(1):42-54.
2刘永平.Infinite Dimensional Widths and Optimal Recovery of Some Smooth Function Classes of L_p(R) in Metric L(R)[J].Chinese Science Bulletin,1993,38(20):1678-1682.
3陈迪荣,张建华.On the 2n-Widths of a Periodic Sobolev Class[J].Chinese Science Bulletin,1993,38(3):181-184.
4WANG Xinghua & YANG Shijun Department of Mathematics, Zhejiang University, Hangzhou 310028, China,Department of Mathematics, Hangzhou Normal College, Hangzhou 310036, China.The best quadrature based on given Hermite information for the Sobolev class KW^r[a,b][J].Science China Mathematics,2006,49(8):1146-1152. 被引量：3
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7施锡泉.THE DIMENSION OF THE SPLINE SPACE S_k~μ(△_n)(k≥2^(2n-2)(3μ+1 )+ 1)[J].Chinese Science Bulletin,1992,37(5):436-437.
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9刘永平.Optimal Recovery of Class of Smooth Functions Defined on the Whole Real Axis by Multifold Sampling[J].Chinese Science Bulletin,1993,38(20):1683-1687.
10杨杰.一个带余项的Sobolev不等式[J].自然杂志,1991,14(10):793-793.

Chinese Science Bulletin

1990年第16期

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INFINITE-DIMENSIONAL WIDTHS IN THE SPACES OF FUNCTION (Ⅰ)

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