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《Journal of Southern Yangtze University》 2006-01
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Properties of Subadditive Functions and Its Analogs

TANG Jianguo(Department of Mathematics and Computational Science,Hunan University of Science and Engineering,Yongzhou 425006,China)  
It is proved that when all the ratios of the generic term of a subaddtive sequence to its ordinal number form a lower bounded sequence,the ratio sequence must have limitation.From this,it is proved that when all the ratios of a subaddtive function defined on the interval(0,+∞) to the value of its variable form a bounded function,the subaddtive function must have supremum and infimum functions,which are homogeneously linear functions.Furthermore,its analogs are also investigated and some important results are derived in the paper.
【Fund】: 湖南省自然科学基金项目(03JJY3014)
【CateGory Index】: O174.1
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 WANG Gui-jun, LI Xiao-ping (Institute of Mathematics Science, Tianjin Normal University, Tianjin 300074, China);On Null-additivity of Generalized Fuzzy Valued Choquet Integrals[J];Systems Engineering-theory & Practice;2004-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zheng hui;A New solution of the common item Equation of Finite Series[J];Journal of Aba Teachers College;2003-01
2 XIANG Ming-yin (Huangshan Senior College,Huangshan 245061);The Properties of the Function sgnf(x) and Its Aplication[J];Journal of Anhui Tv University;2001-01
3 WANG Yirui,SU Renquan(1.Math Department of Ankang Teacher'College,Ankang,725000,China;2.The Ziyang High school, 725300,Shaanxi,China);Complementary Proving of the Continuity of Inverse Function[J];Journal of Ankang Teachers College;2004-06
4 WANG Yirui~1,SU Renquan~2(1.Department of Maths,Ankang Teachers' College;2.Ziyang High School,Ankang725300,Shaanxi,China);Single Side Derivative and the Single Side Limit of It[J];Journal of Ankang Teachers College;2005-01
5 WANG Yirui, GAO Xiaoyan (1. The Math Department, Ankng University, Ankang 725000, Shaanxi, China; 2. The Math Department, YuLin College, YuLin 719000, Shaanxi, China);The Methods to Prove the Inequality of (2x)/(π)<sinx<x, x∈(0,π/2)[J];Journal of Ankang Teachers College;2006-03
6 FEI De lin (Huainan Teachers College,Huainan Anhui 232001);The Uses of Some Concepts of Linear Algebra[J];Journal of Anhui Agrotechnical;2002-01
7 TANG Yan yu (The Editorial Dept.of Jourmal of Anqing Teacher's College,Anqing 246011,China);Dirrerential integral basic formula annotation[J];Journal of Anqing Teachers College(Natural Science Edition);2001-03
8 HU Xue-ping (The Computer Dept.of Anqing Teachers′ College,Anqing 246011,China);Euler′s Constant and Its Apply[J];Journal of Anqing Teachers College(Natural Science Edition);2002-01
9 ZHANG Qianqiang(The math.Dept.of Chaohu College,Chaohu 238000,China);Study on the Relationship Between the Infiniteseries and Integral[J];Journal of Anqing Teachers College(Natural Science Edition);2002-04
10 QIN Yunchu (Department Mathenatics of Hechi College, Yizhou 546300,China);Continuious Function on Open Interval[J];Journal of Anqing Teachers College(Natural Science Edition);2003-04
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 WANG Guijun(College of Mathematics Science,Tianjin Normal University, Tianjin 300074, China);Autocontinuity of Generalized Fuzzy Choquet Integrals[J];Journal of Tianjin Normal University (Natural Science Edition);2003-01
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