| 王建力,周颂平.{e(-iλnt}的有理组合在C[a,b]的稠密性[J].数学研究及应用,2002,22(4):657~662 |
| {e(-iλnt}的有理组合在C[a,b]的稠密性 |
| Dense of Rational Combinations of {e(-iλnt} in C[a,b] |
| 投稿时间：1999-11-22 |
| DOI：10.3770/j.issn:1000-341X.2002.04.026 |
| 中文关键词: 有理组合 Müntz逼近稠密 复序列 |
| 英文关键词:rational combinations Müntz approxinmation density complex sequence. |
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| 中文摘要: |
| 本文首先考虑Müntz有理逼近的稠密性,从而得到广义三角多项式的有理组合在C[a,b]稠密的一类条件. |
| 英文摘要: |
| The present paper investigates approximation by rational combinations of {xλn} for a complex sequence {λn} ,As an application,we have an interesting result in general trigonometric polynomials case, that is,for a real monotone sequence satisfying (?)△λn= l, the ratio-nal combination of {e(-iλnt} are dense in C[a,b] for any a,b-∞＜a＜b＜∞，if and only if l=0. |
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