NON-CONVEXITY OF THE DIMENSION FUNCTION FOR SIERPINSKI PEDAL TRIANGLES
文献类型：期刊论文
| 作者 | Ding, Jiu1; Tang, Yifa2 |
| 刊名 | FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 18期号:2页码:191-195 |
| 关键词 | Sierpinski Pedal Triangles Sierpinski Triangle Moran Equation Fractal Dimension Schur-Convex Functions Convex Functions |
| ISSN号 | 0218-348X |
| DOI | 10.1142/S0218348X10004889 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000284705100005 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9607]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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