平面Ros亏格的估计

Volume 9, Issue 1

Views: 0 Downloads: 0

Scan QR Code

仇恒方.平面Ros亏格的估计[J].创意与创新,2025,09(01):26-29.

仇恒方. 平面Ros亏格的估计[J]. Creativity and innovation, 2025, 9(1): 26-29.
仇恒方.平面Ros亏格的估计[J].创意与创新,2025,09(01):26-29. DOI： 10.12184/wspcyycx2WSP2516-415505.20250901.

仇恒方. 平面Ros亏格的估计[J]. Creativity and innovation, 2025, 9(1): 26-29. DOI： 10.12184/wspcyycx2WSP2516-415505.20250901.

通过考虑平面严格闭凸曲线

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=74308398&type=

2.70933342

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=74308410&type=

2.28600001

的渐屈线，利用等周亏格及

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=74308399&type=

3.72533321

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=74308413&type=

3.13266683

度量，得到关于平面Ros亏格的上界。

Groemer H. Stability properties of geometric inequalities[J]. Amer. Math. Monthly, 1990, 97(5): 382-394.

周家足,姜德烁,李明,等.超平面Ros定理[J].数学学报(中文版),2009,52(6):1075-1084.

周家足,任德麟.从积分几何的观点看几何不等式[J].数学物理学报,2010,30A(5):1322-1339.

马磊,曾春娜.平面加强的Ros不等式[J].西南师范大学学报(自然科学版),2014,39(8):23-25.

夏落燕,方牛发.平面Ros定理的稳定性[J].西南师范大学学报(自然科学版),2016,41(2):26-29.

郭如意,梅静芳.一种Ros亏格的估计[J].吉首大学学报(自然科学版),2023,44(3):8-12.

任德麟.积分几何学引论[M].上海:上海科学技术出版社,1988.

Schneider R.Convex bodies:the Brunn-Minkowski theory[M].Second expanded edition.Cambridge University Press,Cambridge,2014.

Cufí J, Gallego E, Reventós A. A note on Hurwitz's inequality[J]. J. Math. Anal. Appl., 2018, 458: 436-451.

Zhang D Y. A note on the isoperimetric deficit[J]. J. Math. Anal. Appl., 2019, 478: 14-32.

Alert me when the article has been cited

Submit

No data

Related Author

No data

Related Institution

No data

⁰