Results 21 to 30 of about 1,191 (137)

A separation of some Seiffert-type means by power means

open access: yesJournal of Numerical Analysis and Approximation Theory, 2012
Consider the identric mean \(\mathcal{I}\), the logarithmic mean \(\mathcal{L,}\) two trigonometric means defined by H. J. Seiffert and denoted by \(\mathcal{P}\) and \(\mathcal{T,}\) and the hyperbolic mean \(\mathcal{M}\) defined by E.
Iulia Costin, Gheorghe Toader
doaj   +4 more sources

Optimal bounds for two Seiffert–like means in exponential type

open access: yesJournal of Mathematical Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu
exaly   +3 more sources

Optimal bounds for two Sándor-type means in terms of power means [PDF]

open access: yesJournal of Inequalities and Applications, 2016
In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β ( a , b ) $M_{\alpha }(a,b)< S_{QA}(a,b)< M_{\beta}(a,b)$ and M λ ( a , b ) < S A Q ( a , b ) < M μ ( a , b ) $M_{\lambda }(a,b)< S_{AQ}(a,b)< M_{\mu}(a,b)$ hold ...
Tie-Hong Zhao   +2 more
doaj   +5 more sources

Sharp bounds for Seiffert mean in terms of weighted power means of arithmetic mean and geometric mean [PDF]

open access: yesMathematical Inequalities & Applications, 2014
For a,b > 0 with a = b , let P = (a− b)/(4arctana/b−π) , A = (a+ b)/2 , G = √ ab denote the Seiffert mean, arithmetic mean, geometric mean of a and b , respectively. In this paper, we present new sharp bounds for Seiffert P in terms of weighted power means of arithmetic mean A and geometric mean G : ( 2 3 A p1 + 3 G p1 )1/p1 < P < ( 2 3 A p2 + 3 G p2 ...
Zhen-Hang Yang
openaire   +2 more sources

Sharp bounds for the Neuman mean in terms of the quadratic and second Seiffert means [PDF]

open access: yesJournal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Ming Chu   +2 more
exaly   +3 more sources

An Optimal Double Inequality between Power-Type Heron and Seiffert Means

open access: yesJournal of Inequalities and Applications, 2010
For , the power-type Heron mean and the Seiffert mean of two positive real numbers and are defined by , ; , and , ; , , respectively.
Wang Miao-Kun, Qiu Ye-Fang, Chu Yu-Ming
doaj   +1 more source

Body composition predicts poor outcomes and reveals immunometabolic dysfunction via single-cell profiling in anti-BCMA CAR T-treated myeloma. [PDF]

open access: yesHemasphere
Abstract Chimeric antigen receptor (CAR) T‐cell therapy has transformed the treatment of relapsed or refractory multiple myeloma (RRMM), yet outcomes remain heterogenous. The prognostic role of body composition in this context is unknown. We retrospectively analyzed 108 RRMM patients treated with anti‐B‐cell maturation antigen (BCMA) CAR T‐cell therapy.
Wiemers TC   +27 more
europepmc   +2 more sources

ON TWO NEW MEANS OF TWO ARGUMENTS III [PDF]

open access: yesПроблемы анализа, 2018
In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P−1), Y=Y(a,b)=Ge^(L/A−1), where A, G, L and P are the arithmetic, geometric, logarithmic, and Seiffert means, respectively.
J. Sandor , B. A. Bhayo
doaj   +3 more sources

Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we find the least value α and the greatest value β such that the double inequality P α ( a , b ) T 1 − α ( a , b ) < M ( a , b ) < P β ( a , b ) T 1 − β ( a , b ) $$P^{\alpha}(a,b)T^{1-\alpha}(a,b)< M(a,b)< P^{\beta}(a,b)T^{1-\beta}(a,b) $$
Hua-Ying Huang, Nan Wang, Bo-Yong Long
doaj   +1 more source

On Seiffert-like means [PDF]

open access: yesJournal of Mathematical Inequalities, 2015
We investigate the representation of homogeneous, symmetric means in the form M(x,y)=\frac{x-y}{2f((x-y)/(x+y))}. This allows for a new approach to comparing means. As an example, we provide optimal estimate of the form (1-μ)min(x,y)+ μmax(x,y)<= M(x,y)<= (1-ν)min(x,y)+ νmax(x,y) and M((x+y)/2-μ(x-y)/2,(x+y)/2+μ(x-y)/2)<= N(x,y)<= M((x+y)/2-
openaire   +2 more sources

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