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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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