A NECESSARY AND SUFFICIENT CONDITION FOR THE CONVEXITY OF THE GENERALIZED ELLIPTIC INTEGRAL OF THE FIRST KIND WITH RESPECT TO HOLDER MEAN

被引：0

作者：

Chu, Hong-Hu ^{[1
]}

Wang, Wei ^{[1
]}

机构：

[1] Hunan Univ, Coll Civil Engn, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2020年 / 14卷 / 03期

关键词：

Generalized elliptic integral; complete p-elliptic integral; Holder mean; convexity; TRANSFORMATION INEQUALITIES; HYPERGEOMETRIC-FUNCTIONS; TRIGONOMETRIC FUNCTIONS; GROTZSCH RING; LIMIT-CYCLES; BOUNDS; MONOTONICITY; CONCAVITY; COMBINATION; EQUATIONS;

D O I：

10.7153/jmi-2020-14-59

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, we present the necessary and sufficient conditions such that the generalized elliptic integral and complete p-elliptic integral of the first kind are convex with respect to Holder mean, which generalize and refine some previously known results.

引用

页码：901 / 921

页数：21

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