Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
Journal of Inequalities and Applications, 2019 In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means.
Wei-Mao Qian +3 more
doaj +3 more sources
Improvements of bounds for the Sándor–Yang means
Journal of Inequalities and Applications, 2019 In the article, we provide new bounds for two Sándor–Yang means in terms of the arithmetic and contraharmonic means. Our results are the improvements of the previously known results.
Wei-Mao Qian, Hui-Zuo Xu, Yu-Ming Chu
doaj +2 more sources
Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means
Journal of Inequalities and Applications, 2018 In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means in terms of combinations of arithmetic and contra-harmonic means.
Hui-Zuo Xu, Yu-Ming Chu, Wei-Mao Qian
doaj +2 more sources
Optimal evaluations for the Sándor-Yang mean by power mean [PDF]
, 2016 In this paper, we prove that the double inequality $M_{p}(a,b) 0$ with $a\neq b$ if and only if $p\leq 4\log 2/(4+2\log 2-\pi)=1.2351\cdots$ and $q\geq 4/3$, where $% M_{r}(a,b)=[(a^{r}+b^{r})/2]^{1/r}$ $(r\neq 0)$ and $M_{0}(a,b)=\sqrt{ab}$ is the $r$th
Yuming Chu, Zhen-Hang Yang
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Bounds of the Neuman-Sándor Mean Using Power and Identric Means [PDF]
, 2013 In this paper we find the best possible lower power mean bounds for the Neuman-Sándor mean and present the sharp bounds for the ratio of the Neuman-Sándor and identric ...
Yu-Ming Chu, Bo-Yong Long
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Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means [PDF]
, 2012 We present the best possible lower and upper bounds for the Neuman-Sándor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic ...
Tie-Hong Zhao, Yu-Ming Chu, Bao-Yu Liu
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Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means [PDF]
, 2013 We prove that the double inequalities Iα1(a,b)Q1-α1(a,b)0 with a≠b if and only if α1≥1/2, β1≤log[2log(1+2)]/(1-log2), α2≥5/7, and β2≤log[2log(1+2)], where I(a,b), M(a,b), Q(a,b), and C(a,b) are the identric, Neuman-Sándor, quadratic, and contraharmonic ...
Tie-Hong Zhao +3 more
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Bounds for the Combinations of Neuman-Sándor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean [PDF]
, 2013 We give the greatest values r1, r2 and the least values s1, s2 in (1/2, 1) such that the double inequalities C(r1a+(1-r1)b,r1b+(1-r1)a)0 with a≠b, where A(a,b), M(a,b), C(a,b), and T(a,b) are the arithmetic, Neuman-Sándor, contraharmonic, and second ...
Yu-Ming Chu +4 more
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Robust Mean Teacher for Continual and Gradual Test-Time Adaptation [PDF]
Computer Vision and Pattern Recognition, 2022 Since experiencing domain shifts during test-time is inevitable in practice, test-time adaption (TTA) continues to adapt the model after deployment. Recently, the area of continual and gradual test-time adaptation (TTA) emerged.
Mario Döbler +2 more
semanticscholar +1 more source
Sharp power-type Heronian mean bounds for the Sándor and Yang means
Journal of Inequalities and Applications, 2015 We prove that the double inequalities Hα(a,b)
Shuang-Shuang Zhou +3 more
semanticscholar +2 more sources