The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性)
对于n(n≥2)维Euclidean空间中n维单形的几何不等式，其径向函数或支撑函数很难找到，一般很难用径向或Hausdorff来度量2个单形的“偏差”，使得对有关单形的几何不等式稳定性的研究比较困难.利用n维单形与其共超球的n维正则单形的偏差，引进了单形“R-偏正”度量的概念，证明了Gerber不等式、Euler不等式、SalleeAlexander不等式以及Weitzenböck不等式是稳定的，并给出这些几何不等式的稳定性版本....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2015-01-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2015.01.012 |
| _version_ | 1827303031611326464 |
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| author | WANGWen(王文) YANGShiguo(杨世国) |
| author_facet | WANGWen(王文) YANGShiguo(杨世国) |
| author_sort | WANGWen(王文) |
| collection | DOAJ |
| description | 对于n(n≥2)维Euclidean空间中n维单形的几何不等式，其径向函数或支撑函数很难找到，一般很难用径向或Hausdorff来度量2个单形的“偏差”，使得对有关单形的几何不等式稳定性的研究比较困难.利用n维单形与其共超球的n维正则单形的偏差，引进了单形“R-偏正”度量的概念，证明了Gerber不等式、Euler不等式、SalleeAlexander不等式以及Weitzenböck不等式是稳定的，并给出这些几何不等式的稳定性版本. |
| first_indexed | 2024-04-24T16:55:02Z |
| format | Article |
| id | doaj.art-208fe945d12342a7a7d870b12e9da613 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:55:02Z |
| publishDate | 2015-01-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-208fe945d12342a7a7d870b12e9da6132024-03-29T01:58:34ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972015-01-01421828610.3785/j.issn.1008-9497.2015.01.012The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性)WANGWen(王文)0YANGShiguo(杨世国)1School of Mathematics and Statistics, Hefei Normal University, Hefei 230601, China(合肥师范学院数学与统计学院，安徽 合肥 230061)School of Mathematics and Statistics, Hefei Normal University, Hefei 230601, China(合肥师范学院数学与统计学院，安徽 合肥 230061)对于n(n≥2)维Euclidean空间中n维单形的几何不等式，其径向函数或支撑函数很难找到，一般很难用径向或Hausdorff来度量2个单形的“偏差”，使得对有关单形的几何不等式稳定性的研究比较困难.利用n维单形与其共超球的n维正则单形的偏差，引进了单形“R-偏正”度量的概念，证明了Gerber不等式、Euler不等式、SalleeAlexander不等式以及Weitzenböck不等式是稳定的，并给出这些几何不等式的稳定性版本.https://doi.org/10.3785/j.issn.1008-9497.2015.01.012单形外接球半径weitzenböck不等式sallee-alexander不等式宽度稳定性 |
| spellingShingle | WANGWen(王文) YANGShiguo(杨世国) The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性) Zhejiang Daxue xuebao. Lixue ban 单形 外接球半径 weitzenböck不等式 sallee-alexander不等式 宽度 稳定性 |
| title | The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性) |
| title_full | The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性) |
| title_fullStr | The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性) |
| title_full_unstemmed | The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性) |
| title_short | The stability of Weitzenböck inequality and Sallee-Alexander inequality for a simplex(单形中Weitzenböck不等式和Sallee-Alexander不等式的稳定性) |
| title_sort | stability of weitzenbock inequality and sallee alexander inequality for a simplex 单形中weitzenbock不等式和sallee alexander不等式的稳定性 |
| topic | 单形 外接球半径 weitzenböck不等式 sallee-alexander不等式 宽度 稳定性 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2015.01.012 |
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