Results 21 to 30 of about 1,191 (137)
A separation of some Seiffert-type means by power means
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
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Optimal bounds for two Seiffert–like means in exponential type
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Ling Zhu
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Optimal bounds for two Sándor-type means in terms of power means [PDF]
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
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Sharp bounds for Seiffert mean in terms of weighted power means of arithmetic mean and geometric mean [PDF]
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
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Sharp bounds for the Neuman mean in terms of the quadratic and second Seiffert means [PDF]
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Yu-Ming Chu +2 more
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An Optimal Double Inequality between Power-Type Heron and Seiffert Means
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
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Body composition predicts poor outcomes and reveals immunometabolic dysfunction via single-cell profiling in anti-BCMA CAR T-treated myeloma. [PDF]
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
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ON TWO NEW MEANS OF TWO ARGUMENTS III [PDF]
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
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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
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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-
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