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Comparison of two self-expanding transcatheter heart valves for degenerated surgical bioprostheses: the AVENGER multicentre registry. [PDF]
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Sharp power mean bounds for Seiffert mean
Applied Mathematics-A Journal of Chinese Universities, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yongmin, Wang, Miaokun, Chu, Yuming
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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, Físicas y Naturales. Serie A. Matemáticas, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu, Branko Malešević
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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, Wang Miaokun, Wang Gendi
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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 ...
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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 ...
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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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Sharp generalized Seiffert mean bounds for the Toader mean of order 4
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanlin Li, Tiehong Zhao
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Sharp weighted Hölder mean bounds for Seiffert's means
Mathematical Inequalities & ApplicationsSummary: Let \(P(a,b)\) and \(T(a,b)\) be the first and second Seiffert's means for two positive numbers \(a\)and \(b\), in this paper, for any fixed \(p \in \mathbb{R}\), we present the optimal parameters \(\alpha_p\), \(\beta_p\), \(\lambda_p\), \(\mu_p \in [0,1]\) \[ H_p (a,b; \alpha_p) \leqslant P(a,b) \leqslant H_p (a,b; \beta_p),\quad H_p (a,b ...
Zhao, Tie-Hong, Wang, Miao-Kun
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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, Físicas y Naturales. Serie A. Matemáticas, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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