Monotonicity, convexity and inequalities related to complete (p, q, r)-elliptic integrals and generalized trigonometric functions

被引：5
|
作者：
Yin, Li [1 ]
Lin, Xiu-Li [2 ]
Qi, Feng [3 ,4 ]
机构：
[1] Binzhou Univ, Coll Sci, Binzhou 256603, Shandong, Peoples R China
[2] Qufu Normal Univ, Coll Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
[4] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
PUBLICATIONES MATHEMATICAE DEBRECEN | 2020年 / 97卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
monotonicity; logarithmic convexity; geometric convexity; complete monotonicity; logarithmic mean inequality; identric mean inequality; Turan-type inequality; complete; (p; q; r)-elliptic integral; generalized trigonometric function; COMPLETE ELLIPTIC INTEGRALS; TURAN TYPE INEQUALITIES; PROPERTY;
D O I：
10.5486/PMD.2020.8793
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, making use of the monotonicity theorem for the ratio of two power series, the Cebysev integral inequality for monotonic functions and the Hermite-Hadamard integral inequality for convex functions, the authors establish monotonicity, logarithmic and geometric convexity and concavity, logarithmic and identric mean inequalities, the Turan-type inequalities, and complete monotonicity of several functions involving complete (p, q, r)-elliptic integrals and generalized arcsine and arctangent functions.
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页码：181 / 199
页数：19
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