On the stability of generalized entropies

doi:10.1088/1751-8113/42/7/075205

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	On the stability of generalized entropies
	Cao, Xuelian 1; Luo, Shunlong2
	2009-02-20
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	42 期号:7 页码:9
摘要	By the use of a probabilistic coupling technique and generalizing a recent result of Zhang (2007 Lett. Math. Phys. 80 171), we derive several sharp inequalities concerning the uniform continuity of some generalized entropies. These inequalities capture certain aspects of the interplay between the entropies and the uniform distance (variational distance), and establish the stability of the involved entropies.
DOI	10.1088/1751-8113/42/7/075205
语种	英语
资助项目	NSFC[10771208,] ; science Fund for Creative Research Groups[10721101]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000262583100015
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7100
专题	应用数学研究所
通讯作者	Cao, Xuelian
作者单位	1.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cao, Xuelian,Luo, Shunlong. On the stability of generalized entropies[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2009,42(7):9.
APA	Cao, Xuelian,&Luo, Shunlong.(2009).On the stability of generalized entropies.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,42(7),9.
MLA	Cao, Xuelian,et al."On the stability of generalized entropies".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42.7(2009):9.