A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities

Alzer Horst; Richards Kendall

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A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities

机译：关于涉及完整椭圆积分的函数的注释：单调性，凸性，不等式

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摘要

We study monotonicity and convexity properties of the function

机译：我们研究函数的单调性和凸性

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《Analysis Mathematica》 |2015年第3期|共7页
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Alzer Horst; Richards Kendall;
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正文语种 eng
中图分类数学分析;
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1. A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities [J] . Alzer Horst, Richards Kendall Analysis Mathematica . 2015,第3期

机译：关于涉及完整椭圆积分的函数的注释：单调性，凸性，不等式
2. MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS [J] . Miaokun WANG, Wen ZHANG, Yuming CHU 数学物理学报（英文版） . 2019,第005期

机译：广义椭圆积分的单调性，凸性和不等式
3. Monotonicity and functional inequalities for the complete p-elliptic integrals [J] . Zhang Xiaohui Journal of Mathematical Analysis and Applications . 2017,第2期

机译：完整的P-elliptic积分的单调性和功能不等式
4. Some New Inequalities Involving Generalized Fractional Integral Operators for Several Class of Functions [C] . Erhan Set, Abdurrahman G?zpmar International Conference on Advances in Natural and Applied Sciences . 2017

机译：一些新的不等式，涉及几类功能的广义分数整数运营商
5. A PRIORI INTEGRAL INEQUALITIES AND L(,P) ESTIMATES FOR POSITIVE LINEAR OPERATORS AND ELLIPTIC DIFFERENTIAL OPERATORS [D] . CROCKER, THOMAS QUINN HAYES -1

机译：正线性算子和椭圆微分算子的先验积分不等式和L（，P）估计
6. Monotonicity convexity and inequalities for the generalized elliptic integrals [O] . Tiren Huang, Shenyang Tan, Xiaohui Zhang -1

机译：广义椭圆积分的单调性凸性和不等式
7. Monotonicity, convexity and inequalities related to complete $(p,q,r)$-elliptic integrals and generalized trigonometric functions [O] . Li Yin, Xiu-Li Lin, Feng Qi 2020

机译：与完整$（p，q，r）$ - 椭圆形积分和广义三角函数相关的单调性，凸起和不平等
8. Application of theta Functions for Numerical Evaluation of Complete Elliptic Integrals of the First and Second Kinds [R] . Lee, D. K. 1989

机译：θ函数在第一类和第二类完全椭圆积分数值评估中的应用

A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities

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