华东师范大学学报（自然科学版） >

2020 , Vol. 2020 >Issue 4: 26 - 34

DOI: https://doi.org/10.3969/j.issn.1000-5641.201911015

数学

Sándor-Yang平均关于单参数调和与反调和平均的确界

  • 李少云 ,
  • 钱伟茂 ,
  • 徐会作
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  • 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
李少云, 男, 讲师, 研究方向为解析不等式. E-mail: 1030899156@qq.com

收稿日期: 2019-03-18

  网络出版日期: 2020-07-20

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)

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

  • LI Shaoyun ,
  • QIAN Weimao ,
  • XU Huizuo
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  • 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 date: 2019-03-18

  Online published: 2020-07-20

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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

本文引用格式

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 . DOI: 10.3969/j.issn.1000-5641.201911015

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

参考文献

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