|
|||||
|
|
| Sándor-Yang平均关于经典平均凸组合的确界 | |
| 引用本文： | 张帆,杨月英,钱伟茂. Sándor-Yang平均关于经典平均凸组合的确界[J]. 浙江大学学报(理学版), 2018, 45(6): 665-672. DOI: 10.3785/j.issn.1008-9497.2018.06.004 |
| 作者姓名： | 张帆 杨月英 钱伟茂 |
| 作者单位： | 1. 湖州职业技术学院 建筑工程学院, 浙江 湖州 313000; 2. 湖州职业技术学院 机电与汽车工程学院, 浙江 湖州 313000; 3. 湖州广播电视大学 远程教育学院, 浙江 湖州 313000 |
| 基金项目： | 浙江省自然科学基金资助项目（LY13A010004）；浙江广播电视大学科学研究课题（XKT-17G26）；湖州职业技术学院校教改课题（2016xj26）. |
| 摘 要： | 应用实分析方法,研究Sándor-Yang平均RGQ关于算术平均A与几何平均G(或调和平均H)凸组合和Sándor-Yang平均RQG与算术平均A与二次平均Q(或反调和平均C)凸组合的序关系,以及两Sándor-Yang平均RGQ和RQG与几何平均G、算术平均A、二次平均Q的序关系,得到了4个精确双向不等式和一个新的不等式链. |
| 关 键 词： | Sá ndor-Yang平均 经典平均 不等式 |
| 收稿时间： | 2018-02-28 |
Sharp bounds for Sándor-Yang means in terms of the convex combination of classical bivariate means |
|
| ZHANG Fan,YANG Yueying,QIAN Weimao. Sharp bounds for Sándor-Yang means in terms of the convex combination of classical bivariate means[J]. Journal of Zhejiang University(Sciences Edition), 2018, 45(6): 665-672. DOI: 10.3785/j.issn.1008-9497.2018.06.004 | |
| Authors: | ZHANG Fan YANG Yueying QIAN Weimao |
| Affiliation: | 1. School of Architecture Engineering, Huzhou Vocational & Technical College, Huzhou 313000, Zhejiang Province, China; 2. Mechanic Electronic and Automobile Egineering College, Huzhou Vocational & Technical College, Huzhou 313000, Zhejiang Province, China; 3. School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, Zhejiang Province, China |
| Abstract: | This article presents several sharp bounds for the Sándor-Yang mean RGQ in terms of the convex combination of arithmetic mean A and geometric mean G(arithmetic mean A and harmonic mean H), the Sándor-Yang mean RQG in terms of the convex combination of quadratic mean Q and arithmetic mean A(contra-harmonic mean C and arithmetic mean A). A new chain of inequalities for the geometric mean G, arithmetic mean A, quadratic mean Q and two Sándor-Yang means RGQ and RQG are then derived. |
| Keywords: | Sándor-Yang mean classical mean inequality |
| 本文献已被 CNKI 等数据库收录！ | |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 | |
| 点击此处可从《浙江大学学报(理学版)》下载免费的PDF全文 | |