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光滑Weyl和的分数幂次均值数值边界(英文)
引用本文:王天泽,王天芹.光滑Weyl和的分数幂次均值数值边界(英文)[J].河南大学学报(自然科学版),2012(5):467-475.
作者姓名:王天泽  王天芹
作者单位:华北水利水电学院信息工程系
基金项目:Project Supported by the National Natural Science Foundation of China(11071070);Foundation and Advanced Technology Research Program of Henan Province(122300410030)
摘    要:讨论了分数幂次光滑Weyl和的均值数值边界之间的关系,给出了幂次区间4,5]中的数时相应均值数值边界的一些新结果.

关 键 词:允许指数  均值  光滑Weyl和  数值边界

Numerical Bounds for the Mean Values of Smooth Weyl Sums of Fractional Moments
WANG Tian-ze,WANG Tian-qin.Numerical Bounds for the Mean Values of Smooth Weyl Sums of Fractional Moments[J].Journal of Henan University(Natural Science),2012(5):467-475.
Authors:WANG Tian-ze  WANG Tian-qin
Institution:(Department of Information Engineering,North China University of Water Resources and Electric Power,Zhengzhou 450011,China)
Abstract:In this paper,we discuss some relationship of the numerical bounds on the mean values of smooth Weyl sums of fractional moments based on a creative work of Wooley.Some new results on the numerical bounds of the mean values are given when the moments are in the interval .
Keywords:permissible exponent  mean value  smooth Weyl sum  numerical bound
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