A NECESSARY AND SUFFICIENT CONDITION FOR THE CONVEXITY OF THE ONE-PARAMETER GENERALIZED INVERSE TRIGONOMETRIC SINE FUNCTION ACCORDING TO POWER MEAN

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成果类型：

期刊论文

作者：

Hong, Miao-Ying;Wang, Miao-Kun;Chu, Yu-Ming

作者机构：

[Wang, Miao-Kun; Hong, Miao-Ying] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.

[Chu, Yu-Ming] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.

[Chu, Yu-Ming] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.

语种：

英文

关键词：

Generalized trigonometric sine function;generalized inverse trigonometric sine function;power mean;convexity

期刊：

JOURNAL OF MATHEMATICAL INEQUALITIES

ISSN：

1846-579X

年：

2021

卷：

期：

页码：

559-573

DOI：

10.7153/jmi-2021-15-41

基金类别：

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11701176, 61673169, 11971142]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY19A010012]; research project for college students of Huzhou University [2019-111]

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摘要：

In the article, we present a necessary and sufficient condition such that the one-parameter generalized inverse trigonometric sine function is convex with respect to power mean. As a consequence, we provide the necessary and sufficient condition for the concavity of the one-parameter generalized trigonometri...

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A NECESSARY AND SUFFICIENT CONDITION FOR THE CONVEXITY OF THE ONE-PARAMETER GENERALIZED INVERSE TRIGONOMETRIC SINE FUNCTION ACCORDING TO POWER MEAN

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