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Hersch-Pfluger偏差函数的Hlder平均不等式 被引量：2

A Hlder mean inequality for the Hersch-Pfluger distortion function
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摘要 本文利用第一类和第二类完全椭圆积分的分析性质建立了Hersch-Pfluger偏差函数φK的Hlder平均不等式,推广了Anderson、Vamanamurthy和Vuorinen关于Hersch-Pfluger偏差函数φK的几何平均不等式. Using the analytic properties of the complete elliptic integrals of the first and the second kinds, we establish the Holder mean inequality for the Hersch-Pfluger distortion function φK, which extends the geometric mean inequality for the Hersch-Pfluger distortion function φK due to Anderson, Vamanamurthy and Vuorinen.
作者 王根娣 张孝惠 褚玉明
机构地区 湖南大学数学与计量经济学院 湖州师范学院数学系
出处 《中国科学：数学》 CSCD 北大核心 2010年第8期783-786,共4页 Scientia Sinica：Mathematica
基金 浙江省自然科学基金(批准号:Y7080106) 浙江省教育厅复分析创新团队(批准号:T200924) 浙江省教育厅自然科学基金(批准号:Y200908671)资助项目
关键词 Hersch—Pfluger偏差函数 Holder平均 函数不等式 Hersch-Pfluger distortion function, Holder mean, functional inequality
分类号 O178 [理学—基础数学]
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参考文献17

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同被引文献20

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  • 7Guo Baini, Qi Feng. Some bounds for the complete elliptic integrals of the first and second kinds[J]. Math Inequal Appl, 2011, 14:323-334.
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引证文献2

中国科学：数学
2010年 第8期

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