Geometric Mean (GM)
Comparison of Arithmetic Mean, Geometric Mean and Harmonic Mean Derivative-Based Closed Newton Cotes Quadrature
... arithmetic mean (AMDCNC), geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivative- based closed Newton cotes quadrature rules are compared with the existing closed Newton cotes ...
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New weighted geometric mean method to estimate the slope of measurement error model
... weighted geometric mean (WG) estimator to fit regression line when both the response and explanatory variables are subject to measurement ...used geometric mean (GM) and OLS-bisector ...the ...
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Maximum and Geometric-Mean Spectral Demands in the Near-Fault Region
... The geomean (square root of the product) of the spectral demands of two orthogonal horizontal components of ground motions is generally used as the response variable in attenuation relationships. It produces smaller ...
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Computing the Matrix Geometric Mean of Two HPD Matrices: A Stable Iterative Method
... It is also of requisite nature to remark that it would be favorable to still accelerate the scheme (2.13) for finding matrix sign and subsequently for matrix geometric mean. After the above dis- cussions, ...
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The geometric mean of relative abundance indices : a biodiversity measure with a difference
... The geometric mean of relative abundance indices, G, is increasingly being used to examine trends in biological diversity and to assess whether biodiversity targets are being ...
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Improvement of the Traditional Canny Edge Detection Algorithm by using Combination of Arithmetic Mean Filter, Harmonic Mean Filter and Geometric Mean Filter
... processing, but it also got some defects. The first defect is slow processing and cause the CEDA cannot apply on the real time [2]. The second defect was the weak anti-noise ability which mean not function well on ...
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ONE MODULO THREE GEOMETRIC MEAN LABELING OF SOME FAMILIES OF GRAPHS
... three geometric mean labeling as follows: A graph G is said to be one modulo three geometric mean graph if there is an injective function from the vertex set of G to the set a |1 a 3q ...
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A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
... Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a ...
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Extensions of interpolation between the arithmetic geometric mean inequality for matrices
... MSC: Primary 47A64; secondary 15A60 Keywords: arithmetic-geometric mean; unitarily invariant norm; Hilbert-Schmidt norm; Cauchy-Schwarz inequality.. the eigenvalues of the positive semid[r] ...
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On the Design of MIMO OFDM Transceivers via Geometric Mean Decomposition
... The Geometric Mean Decomposition (GMD) based transceiver design has gained huge attention in the recent past as it provides an optimal solution in terms of BER and ...
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Applications of Arithmetic Geometric Mean Inequality
... arithmetic-geometric mean inequality for singular values, due to Bhatia and Kittaneh, is one of the most important singular value in- equalities for compact ...arithmetic-geometric mean ...
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The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities
... Abstract. In this paper, we show new ways of proving the arithmetic-geometric mean AGM inequality through the first product and the second product inequalities. In addition, we prove the AGM inequality ...
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Estimates of the modular type operator norm of the general geometric mean operator
... In this paper, the modular-type operator norm of the general geometric mean operator over spherical cones is investigated. We give two applications of a new limit process, introduced by the present authors, ...
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Some Equivalent Forms of the Arithematic Geometric Mean Inequality in Probability: A Survey
... The arithmetic-geometric mean inequality in short, AG inequality has been widely used in mathematics and in its applications. A large number of its equivalent forms have also been developed in several areas ...
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Clustering signed networks with the geometric mean of Laplacians
... that in expectation the geometric mean Laplacian is superior to the other signed Laplacians. In Fig. 2 we present experiments on sampled graphs with k-means on top of the k smallest eigenvectors. In all ...
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Sharp bounds for the arithmetic geometric mean
... Abstract In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.. MSC: P[r] ...
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One Modulo Three Geometric Mean Graphs
... three geometric mean graph if there is an injective function φ from the vertex set of G to the set {a | 1 ≤ a ≤ 3q − 2} and either a ≡ 0(mod3) or a ≡ 1(mod3)} where q is the number of edges of G and φ ...
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Integral Representations for Bivariate Complex Geometric Mean and Applications
... mic mean, the identric mean, Stolarsky’s mean, the harmonic mean, the (weighted) geometric means and their reciprocals, and the Toader–Qi mean) and the multivariate (weighted) ...
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Some Inequalities Involving the Geometric Mean of Natural Numbers and the Ratio of Gamma Functions
... In this article, using Stirling’s formula, the series-expansion of digamma functions and other techniques, two inequalities involving the geo- metric mean of natural numbers and the rati[r] ...
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Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean
... Wu, “Generalization and sharpness of the power means inequality and their applications,” Journal of Mathematical Analysis and Applications, vol.. Richards, “Sharp power mean bounds for t[r] ...
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