Results 131 to 137 of about 1,191 (137)

Sharp weighted Hölder mean bounds for Seiffert's means

Mathematical Inequalities & Applications
Summary: 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
openaire   +1 more source

Optimal Estimations of Seiffert-Type Means By Some Special Gini Means

2014
Let us consider the logarithmic mean \(\mathcal{L,}\) the identric mean \(\mathcal{I,}\) the trigonometric means \(\mathcal{P}\) and \(\mathcal{T}\) defined by H. J. Seiffert, the hyperbolic mean \(\mathcal{N}\) defined by E. Neuman and J. Sandor, and the Gini mean \(\mathcal{J}\). The optimal estimations of these means by power means \(\mathcal{A}_{p}\
Iulia Costin, Gheorghe Toader
openaire   +1 more source

An Inequality for a Family of Means (H.-J. Seiffert)

SIAM Review, 1992
openaire   +1 more source

Sharp bounds for neuman-sándor mean in terms of the convex combination of quadratic and first Seiffert means

Acta Mathematica Scientia, 2014
Yu-Ming Chu, Tie-Hong Zhao
exaly  

A best-possible double inequality between Seiffert and harmonic means

Journal of Inequalities and Applications, 2011
Yu-Ming Chu, Miao-Kun Wang, Wang Miao-Kun   +2 more
exaly  

The Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean

Journal of Inequalities and Applications, 2010
Yu-Ming Chu, Miao-Kun Wang, Wang Miao-Kun   +2 more
exaly  

The Optimal Convex Combination Bounds for Seiffert's Mean

Journal of Inequalities and Applications, 2011
exaly