NON-CONVEXITY OF THE DIMENSION FUNCTION FOR SIERPINSKI PEDAL TRIANGLES

doi:10.1142/S0218348X10004889

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	NON-CONVEXITY OF THE DIMENSION FUNCTION FOR SIERPINSKI PEDAL TRIANGLES
	Ding, Jiu 1; Tang, Yifa 2
	2010-06-01
发表期刊	FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
ISSN	0218-348X
卷号	18 期号:2 页码:191-195
摘要	We disprove the conjecture of the paper by Zhang et al.(1) on the Schur-convexity of the dimension function for the family of Sierpinski pedal triangles. We also show that this function is not convex and the related area-ratio function is not concave in their respective domain.
关键词	Sierpinski Pedal Triangles Sierpinski Triangle Moran Equation Fractal Dimension Schur-Convex Functions Convex Functions
DOI	10.1142/S0218348X10004889
语种	英语
资助项目	Morningside Center of Mathematics, Chinese Academy of Sciences ; National Natural Science Foundation of China[10872037] ; National Natural Science Foundation of China[60931002]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000284705100005
出版者	WORLD SCIENTIFIC PUBL CO PTE 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/9608
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, Jiu
作者单位	1.Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ding, Jiu,Tang, Yifa. NON-CONVEXITY OF THE DIMENSION FUNCTION FOR SIERPINSKI PEDAL TRIANGLES[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY,2010,18(2):191-195.
APA	Ding, Jiu,&Tang, Yifa.(2010).NON-CONVEXITY OF THE DIMENSION FUNCTION FOR SIERPINSKI PEDAL TRIANGLES.FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY,18(2),191-195.
MLA	Ding, Jiu,et al."NON-CONVEXITY OF THE DIMENSION FUNCTION FOR SIERPINSKI PEDAL TRIANGLES".FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 18.2(2010):191-195.