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第2类完全椭圆积分的上界和下界估计 被引量:1

Upper and Lower Limits of the Complete Elliptic Integral of the Second Kind
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摘要 利用平面Bonnesen型对称等周不等式及Bonnesen型逆向对称等周不等式,给出第2类完全椭圆积分的一些上界和下界的估计. Some upper and lower limits of the complete elliptic integral of the second kind are estimated via the Bonnesen-style symmetric isoperimetric inequalities and the reverse Bonnesen-style symmetric isoperimetric inequalities.
作者 马芳 周家足
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第4期142-144,共3页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(10971167)
关键词 对称等周亏格 对称等周不等式 Bonnesen型对称等周不等式 第2类完全椭圆积分 symmetric isoperimetric deficit symmetric isoperimetric inequality Bonnesen-style symmetric isoperimetric inequality complete elliptic integral of the second kind
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参考文献18

  • 1BURAGO Y D, ZALGALLER V A. Geometric Inequalities [M]. Berlin: Springer-Verlag, 1988.
  • 2HSIUNG W Y. An Elementary Proof of the Isoperimetric Problem [J]. Chin Ann Math, 2002, 23A(1):7--12.
  • 3OSSERMAN R. The Isoperimetric Inequality [J]. Bull Amer Math Soc, 1978, 84(6): 1182--1238.
  • 4OSSERMAN R. Bonnesen-Style Isoperimetric Inequality [J]. Amer Math Monthly, 1979, 86(1): 1--29.
  • 5ZHOU J. On Bonnesen-Style Inequalities [J]. Acta Math Sinica, 2007, 50(6) : 1397--1402.
  • 6周家足.积分几何与等周不等式[J].贵州师范大学学报(自然科学版),2002,20(2):1-3. 被引量:8
  • 7ZHOU J, CHEN F. The Bonnesen-Style Inequalities in a Plane of Constant Curvature [J]. Journal of Korean Math Sco, 2007, 44(6):1363--1372.
  • 8DISKANT V I. A Generalization of Bonnesen's Inequalities [J]. Sovie Math Dokl, 1973, 14: 1728--1731.
  • 9ENOMOTO K. A Generaliazation of the Isoperimetric Inequality on S2 and Flat Tori in R^3 [J].Proc Amer Math Soc, 1994, 120(2): 553--558.
  • 10GRINBERG E L. Isoperimetric Inequalities and Identities Fork-Dimensional Cross-Sections of Convex Bodies [J]. Math Ann, 1991, 291(1): 75--86.

二级参考文献8

  • 1Shen Z.Differential Geometry of Spray and Fisler Space[M].Dordrecht:Kluwer Academaic Publishers,2001.
  • 2Shen Z.Projectively flat Randers metrics of conatant flag curvature[J].Math Ann,2003,325:19-30.
  • 3Chen X,Mo X,Shen Z.On the flag curvature of Finsler metric of scalar curvature[J].J London Math Soc,2003,68(2):762-780.
  • 4Shen Z.Lectures on Finsler Geometry[M].Singapore:World Scientific,2001.
  • 5Shen Z.Projectively flat Finsler metrics of constant flag curvature[J].Trans of Amer Math Soc,2003,355(4):1713 -1728.
  • 6李本伶.PROJECTIVELY FLAT MATSUMOTO METRIC AND ITS APPROXIMATION[J].Acta Mathematica Scientia,2007,27(4):781-789. 被引量:5
  • 7樊映川等.高等数学讲义[M]高等教育出版社,1964.
  • 8Jia-zu ZHOU School of Mathematics and Statistics, Southwest University, Chongqing 400715, China,Department of Mathematics, Polytechnic University, Brooklyn, NY 11201, USA.The Willmore functional and the containment problem in R^4[J].Science China Mathematics,2007,50(3):325-333. 被引量:9

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