完全椭圆积分的单调性性质与界
Monotonicity properties and bounds for the complete -elliptic integrals.
作者信息
Huang Ti-Ren, Tan Shen-Yang, Ma Xiao-Yan, Chu Yu-Ming
机构信息
1Department of Mathematics, Zhejiang Sci-Tech Universityu, Hangzhou, China.
2Taizhou Institute of Science and Technology, Nanjing University of Science and Technology, Taizhou, China.
出版信息
J Inequal Appl. 2018;2018(1):239. doi: 10.1186/s13660-018-1828-2. Epub 2018 Sep 12.
Abstract
We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete -elliptic integrals.
摘要
我们将关于完全椭圆积分的几个单调性、凸性性质以及尖锐不等式推广到了超完全椭圆积分。
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本文引用的文献
1
Monotonicity, convexity, and inequalities for the generalized elliptic integrals.广义椭圆积分的单调性、凸性及不等式
J Inequal Appl. 2017;2017(1):278. doi: 10.1186/s13660-017-1556-z. Epub 2017 Nov 9.
2
Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters.关于具有两个参数的算术平均和几何平均的一种特殊拟算术平均的精确界。
J Inequal Appl. 2017;2017(1):274. doi: 10.1186/s13660-017-1550-5. Epub 2017 Nov 2.
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