Functional inequalities for the ratio of complete p-elliptic integrals

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:488

Article

Gu, Xiaoyan¹  Zhang, Xiaohui¹ 

[1] Zhejiang Sci Tech Univ, Dept Math Sci, Hangzhou 310018, Peoples R China

关键词: Generalized trigonometric functions;    Generalized complete elliptic integrals;    Monotonicity;    Inequalities;   

DOI  :  10.1016/j.jmaa.2020.124065

来源: Elsevier

【 摘 要 】

In this paper we show monotonicity and convexity properties of a function involving the ratio of complete p-elliptic integrals which reduces to the modulus of the Grotzsch ring. As applications we obtain several sharp functional inequalities. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free