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

doi:10.3969/j.issn.1000-5641.201911015

Journal of East China Normal University(Natural Science) ›› 2020, Vol. 2020 ›› Issue (4): 26-34.doi: 10.3969/j.issn.1000-5641.201911015

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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

Abstract

CLC Number:

O178

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.

References

[1] YANG Z H, WU L M, CHU Y M. Optimal power mean bounds for Yang mean [J]. J Inequal Appl, 2014, 401: 1-10.
[2] LI J F, YANG Z H, CHU Y M. Optimal power mean bounds for the second Yang mean [J]. J Inequal Appl, 2016, 31: 1-9.
[3] QIAN W M, CHU Y M. Best possible bounds for Yang mean using generalized logarithmic mean [J]. Math Probl Eng, 2016, Article ID 8901258.
[4] QIAN W M, CHU Y M, ZHANG X H. Sharp one-parameter mean bounds for Yang mean [J]. Mathematical Problems in Engineering, 2016, Article ID 1579468.
[5] ZHOU S S, QIAN W M, CHU Y M, et al. Sharp power-type Heronian mean bounds for the Sándor and Yang means [J]. J Inequal Appl, 2015, 159: 1-10.
[6] VUORINEN M. Hypergeometric Functions in Geometric Function Theory, Special Functions and Differential Equations [M]. New Delhi: Allied Publ, 1998.
[7] 裘松良, 沈洁敏. 关于平均值的两个问题 [J]. 杭州电子工业学院学报, 1997, 17(3): 1-7
[8] YANG Z H. Three families of two-parameter means constructed by trigonometric functions [J]. J Inequal Appl, 2013, 541: 1-27.
[9] WANG J L, XU H Z, QIAN W M. Sharp bounds for Sándor-Yang means in terms of Lehmer means [J]. Adv Inequal Appl, 2018, 2: 1-8.
[10] NEUMAN E. On a new family of bivariate means [J]. J Math Inequal, 2017, 11(3): 673-681.
[11] YANG Z H, CHU Y M. Optimal evaluations for the Sándor-Yang mean by power mean [J]. Math Inequal Appl, 2016, 19(3): 1031-1038.
[12] ZHAO T H, QIAN W M, SONG Y Q. Optimal bounds for two Sándor-type means in terms of power means [J]. J Inequal Appl, 2016, 64: 1-10.
[13] YANG Y Y, QIAN W M. Two optimal inequalities related to the Sándor-Yang type mean and one-parameter mean [J]. Communications in Mathematical Research (English version), 2016, 32(4): 352-358.
[14] QIAN W M, XU H Z, CHU Y M. Improvements of bounds for the Sándor-Yang means [J]. J Inequal Appl, 2019, 73: 1-8.
[15] XU H Z, CHU Y M, QIAN W M, Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means [J]. J Inequal Appl, 2018, 127: 1-13.
[16] 徐会作. Sándor-Yang平均关于一些二元平均凸组合的确界 [J]. 华东师范大学学报(自然科学版), 2017(4): 41-50. DOI: 10.3969/j.issn.1000-5641.2017.04.004
[17] XU H Z, QIAN W M. Sharp bounds for Sándor-Yang means in terms of quadratic mean [J]. J Math Inequal, 2018, 12(4): 1149-1158.
[18] 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

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

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[1]	YANG Yue-ying, MA Ping. Two optimal inequalities for Neuman-Sándor means [J]. Journal of East China Normal University(Natural Sc, 2018, 2018(4): 23-31.
[2]	XU Hui-zuo. Sharp bounds for Sándor-Yang means in terms of some bivariate means [J]. Journal of East China Normal University(Natural Sc, 2017, (4): 41-51.