| 第2类完全椭圆积分的上界和下界估计 |
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| 引用本文： | 马芳,周家足.第2类完全椭圆积分的上界和下界估计[J].西南农业大学学报,2011,33(4). |
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| 作者姓名： | 马芳 周家足 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10971167) |
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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.
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| 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 |
Upper and Lower Limits of the Complete Elliptic Integral of the Second Kind |
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| MA Fang,ZHOU Jia-zu School of Mathematics , Statistics,Southwest University,Chongqing ,China.Upper and Lower Limits of the Complete Elliptic Integral of the Second Kind[J].Journal of Southwest Agricultural University,2011,33(4). |
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| Authors: | MA Fang ZHOU Jia-zu School of Mathematics Statistics Southwest University Chongqing China |
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| Institution: | MA Fang,ZHOU Jia-zu School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | 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. |
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| Keywords: | symmetric isoperimetric deficit symmetric isoperimetric inequality Bonnesen-style symmetric isoperimetric inequality complete elliptic integral of the second kind |
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