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T-bet suppresses proliferation of malignant B cells in chronic lymphocytic leukemia.
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Sharp power mean bounds for Seiffert mean
Applied Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong-Min Li +2 more
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Aequationes Mathematicae, 2013
In his previous paper [Aequationes Math. 83, No. 1--2, 191--197 (2012; Zbl 1238.33011)] the author has defined a mean \(X_{k}\) \((0\leq k\leq 1)\) as follows \[ X_{k}\left( x,y\right) =\left[ R_{F}\left( x^{2},y^{2},z^{2}\right) \right] ^{-1}, \] where \[ z=\begin{cases} \sqrt{\left( kx\right) ^{2}+\left( k^{\prime }y\right) ^{2}}\quad \text{if ...
Edward Neuman
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In his previous paper [Aequationes Math. 83, No. 1--2, 191--197 (2012; Zbl 1238.33011)] the author has defined a mean \(X_{k}\) \((0\leq k\leq 1)\) as follows \[ X_{k}\left( x,y\right) =\left[ R_{F}\left( x^{2},y^{2},z^{2}\right) \right] ^{-1}, \] where \[ z=\begin{cases} \sqrt{\left( kx\right) ^{2}+\left( k^{\prime }y\right) ^{2}}\quad \text{if ...
Edward Neuman
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Optimal evaluations of some Seiffert-type means by power means
Applied Mathematics and Computation, 2013Let us consider the second trigonometric mean T defined by Seiffert and the hyperbolic mean M defined by Neuman and Sandor. There are some known inequalities between these means and some power means A"p. We prove that the evaluationsA"l"n"2"/"l"n"("l"n"("3"+"2"2")")
Iulia Costin, Gheorghe Toader
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Optimal bounds for two Seiffert-like means by arithmetic mean and harmonic mean
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu, Branko Malesevic
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The optimal generalized logarithmic mean bounds for Seiffert's mean
Acta Mathematica Scientia, 2012Abstract For p ∈ R , the generalized logarithmic mean L p ( a,b ) and Seiffert's mean T ( a,b ) of two positive real numbers a and b are defined in (1.1) and (1.2) below respectively. In this paper, we find the greatest p and least q such that the double-inequality L p ( a,b ) T ( a,b ) L q ( a,b ) holds for all a,b > 0 and a ...
Chu Yuming
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Sharp generalized Seiffert mean bounds for the Toader mean of order 4
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanlin Li, Tie-Hong Zhao, Li Yanlin
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Optimal bounds of exponential type for arithmetic mean by Seiffert-like mean and centroidal mean
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu
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Bounds for Toader Mean in Terms of Arithmetic and Second Seiffert Means
Communications in Mathematics and Applications, 2019In the article, we prove that the double inequalities \begin{align*} &\alpha_{1}T(a,b)+(1-\alpha_{1})A(a,b) 0\) with \(a\neq b\) if and only if \(\alpha_{1}\leq 3/4\), \(\beta_{1}\geq1\), \(\alpha_{2}\leq 3/4\) and \(\beta_{2}\geq 1\), where \(A(a,b)\), \(TD(a,b)\) and \(T(a,b)\) are the arithmetic, Toader and second Seiffert means of \(a\) and \(b ...
Zai-Yin He, Yue-Ping Jiang, Yu-Ming Chu
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