关于完全p-椭圆积分的一个函数
On a Function Involving the Complete p-Elliptic Integrals
摘要: 本文中我们研究了由第一类和第二类完全p-椭圆积分kp和εp定义的函数 的单调性和凹凸性。我们也证明了函数 的几个精确不等式。
Abstract: In this paper, we investigate the monotonicity and convexity properties of the function involving the complete p-elliptic integrals of the first and second kind, kp and εp, respectively. We also provide several sharp inequalities for the function .
文章引用:刘钟秦, 张孝惠. 关于完全p-椭圆积分的一个函数[J]. 理论数学, 2018, 8(4): 325-332. https://doi.org/10.12677/PM.2018.84043

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