Sándor-Yang平均关于单参数调和与反调和平均的确界

doi:10.3969/j.issn.1000-5641.201911015

华东师范大学学报（自然科学版） ›› 2020, Vol. 2020 ›› Issue (4): 26-34.doi: 10.3969/j.issn.1000-5641.201911015

Sándor-Yang平均关于单参数调和与反调和平均的确界

李少云¹, 钱伟茂², 徐会作¹

1. 温州广播电视大学教师教学发展中心,浙江温州 325013;
2. 湖州广播电视大学继续教育学院,浙江湖州 313000

收稿日期:2019-03-18 发布日期:2020-07-20
通讯作者: 钱伟茂,男,教授,研究方向为特殊函数和平均值理论.E-mail:qwm661977@126.com E-mail:qwm661977@126.com
作者简介:李少云, 男, 讲师, 研究方向为解析不等式. E-mail: 1030899156@qq.com
基金资助:
国家自然科学基金(61374086, 11401191); 浙江远程教育学会重点课题(DES-18Z04); 浙江广播电视大学“312人才培养工程”培养项目; 浙江广播电视大学2019年度科学研究课题(XKT-19Z02)

Sharp bounds for Sándor-Yang means in terms of single parameter harmonic and contra-harmonic means

LI Shaoyun¹, QIAN Weimao², XU Huizuo¹

1. Teacher's Teaching Development Center, Wenzhou Broadcast and TV University, Wenzhou, Zhejiang 325013, China;
2. School of Continuing Education, Huzhou Broadcast and TV University, Huzhou, Zhejiang 313000, China

Received:2019-03-18 Published:2020-07-20

摘要/Abstract

摘要： 应用实分析的方法，通过对Sándor-Yang平均与单参数调和平均和Sándor-Yang平均与单参数反调和平均序关系的研究，得到了两个最佳双向不等式.

关键词: Sándor-Yang平均, 调和平均, 反调和平均

Abstract: Using real analysis, this paper reviews the order relations of Sándor-Yang means and single parameter harmonic (or contra-harmonic) means. Two optimal double inequalities are found.

Key words: Sándor-Yang mean, harmonic mean, contra-harmonic mean

中图分类号:

O178

李少云, 钱伟茂, 徐会作. Sándor-Yang平均关于单参数调和与反调和平均的确界[J]. 华东师范大学学报（自然科学版）, 2020, 2020(4): 26-34.

LI Shaoyun, QIAN Weimao, XU Huizuo. Sharp bounds for Sándor-Yang means in terms of single parameter harmonic and contra-harmonic means[J]. Journal of East China Normal University(Natural Science), 2020, 2020(4): 26-34.

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Sándor-Yang平均关于单参数调和与反调和平均的确界

Sharp bounds for Sándor-Yang means in terms of single parameter harmonic and contra-harmonic means

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