Results 11 to 20 of about 4,553,166 (289)

Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means [PDF]

Journal of Applied Mathematics, 2012
We present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean of the geometric and harmonic means.
Wei-Mao Qian, Bo-Yong Long
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The geometric mean algorithm [PDF]

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ralha, Rui
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Extensions to Mean–Geometric Mean Linking

Mathematics
Mean-geometric mean (MGM) linking is a widely used method for linking two groups within the two-parameter logistic (2PL) item response model. However, the presence of differential item functioning (DIF) can lead to biased parameter estimates using the ...
Alexander Robitzsch
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The geometric mean distance

ACM SIGACT News, 1976
Given N points in K-space, the O(N 2 ) distances between them may be characterized by their minimum[1, 2], maximum [3], mean[4, 5, 6], or median [7]; since these problems are geometrical, it may be Interesting to consider the geometric mean - or, which is equivalent, the product - of the ...
G. Yuval
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Sharp Geometric Mean Bounds for Neuman Means [PDF]

Abstract and Applied Analysis, 2014
We find the best possible constants α1,α2,β1,β2∈[0,1/2] and α3,α4,β3,β4∈[1/2,1] such that the double inequalities G(α1a+(1-α1)b,α1b + (1-α1)a)
Yan Zhang, Yu-Ming Chu, Yun-Liang Jiang
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On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality [PDF]

, 2023
In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality and it was proved by K. Kedlaya in 1994. In this note, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, harmonic-mean ...
Kyumin Nam
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On the Geometric Mean Operator

Journal of Mathematical Analysis and Applications, 1994
The authors give a characterization of pairs of weights \((u,v)\) such that the geometric mean operator \(Gf(x)= \exp((1/x) \int_ 0^ x \log f(t) dt)\), defined for \(f>0\) almost everywhere on \((0,\infty)\), is bounded from \(L_{p,v} (0,\infty)\) to \(L_{q,u} (0,\infty)\), where \(01\) the good weights for \(G\) coincide with those good for the ...
Pick, L., Opic, B.
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Geometric means

Linear Algebra and its Applications, 2004
Let \(G(A,B)\) be the geometric mean of two \(n\times n\) positive semidefinite matrices \(A\) and \(B\). The authors extend the definition of \(G\) to any number of \(n\times n\) positive semidefinite matrices inductively. Suppose that for some \(k\geq 2\), the geometric mean \(G(A_1,A_2,\dots,A_k)\) of any \(k\) positive semidefinite matrices \(A_1 ...
Ando, T., Li, Chi-Kwong, Mathias, Roy
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Some Inequalities Involving the Geometric Mean of Natural Numbers and the Ratio of Gamma Functions [PDF]

, 2000
In this article, using Stirling’s formula, the series-expansion of digamma functions and other techniques, two inequalities involving the geometric mean of natural numbers and the ratio of gamma functions are ...
Qi, Feng, Guo, Bai-Ni
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Operator spectral geometric versus geometric mean

Linear and Multilinear Algebra, 2023
The coefficients in Theorem 2.2 and Corollary 2.3 have been changed.
Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh   +2 more
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