数学物理学报
數學物理學報
수학물이학보
ACTA MATHEMATICA SCIENTIA
2010年
1期
207-216
,共10页
交错Oppenheim展开%形式Laurent级数%度量性质%收敛速度
交錯Oppenheim展開%形式Laurent級數%度量性質%收斂速度
교착Oppenheim전개%형식Laurent급수%도량성질%수렴속도
Alternating Oppenheim expansion%Formal Laurent series%Metric property%Con-vergence speed
该文介绍了形式Laurent级数域上交错Oppenheim展开的算法,得到了该展开中数字的强(弱)大数定理、中心极限定理和重对数率,并且研究了这些级数部分和的逼近的度.
該文介紹瞭形式Laurent級數域上交錯Oppenheim展開的算法,得到瞭該展開中數字的彊(弱)大數定理、中心極限定理和重對數率,併且研究瞭這些級數部分和的逼近的度.
해문개소료형식Laurent급수역상교착Oppenheim전개적산법,득도료해전개중수자적강(약)대수정리、중심겁한정리화중대수솔,병차연구료저사급수부분화적핍근적도.
In this paper,we introduce a new algorithm,alternating Oppenheim expansion over the field of formal Laurent series. Metric properties,such as strong and weak number laws,central limit theorem,and iterated logarithm law,of the digits occurring in this expansion are considered. At the same time,we investigate the approximation orders by rational fractions which are the partial sums of these series.
