Arithmetic mean and geometric mean
Comparative Study of the use of Arithmetic Mean and Geometric Mean for Data Aggregation in FMEA Analysis
... approach for ranking risk of failure modes of most marine machinery system. However, the Risk Priority Number (RPN) use for evaluating risk within FMEA framework have several limitations and as such most researchers ...
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Comparison of Arithmetic Mean, Geometric Mean and Harmonic Mean Derivative-Based Closed Newton Cotes Quadrature
... using arithmetic mean (AMDCNC), geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivative- based closed Newton cotes quadrature rules are compared with the existing closed Newton ...
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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
... of Arithmetic Mean Filter, Harmonic Mean Filter and Geometric Mean ...of Arithmetic Mean Filter, Harmonic Mean Filter and Geometric Mean Filter is to ...
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A Third Order Runge Kutta Method Based on Linear Combination of Arithmetic Mean, Harmonic Mean and Geometric Mean for Hybrid Fuzzy Differential Equation
... of Arithmetic mean, Harmonic mean and Geometric mean is ...on Arithmetic mean, Harmonic mean and Geometric ...
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Numerical Solution of First Order Fuzzy Differential Equations by the Third Order Runge Kutta Method Based on Linear Combination of Arithmetic Mean, Geometric Mean and Centroidal Mean
... Abstract- In this paper, a numerical method for fuzzy differential equations based on Seikkala derivative of fuzzy process is applied. The numerical method used to solve the first order fuzzy differential equations is ...
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Sharp bounds for a special quasi arithmetic mean in terms of arithmetic and geometric means with two parameters
... quasi-arithmetic mean E(a, b) in terms of the arithmetic mean A(a, b) and geometric mean G(a, b) with two ...and geometric means bounds for E(a, b) and find new bounds for ...
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Clustering signed networks with the geometric mean of Laplacians
... of arithmetic mean of operators of the positive and negative ...the geometric mean of the Laplacians of positive and negative ...the geometric mean Laplacian allows in ...
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Clustering signed networks with the geometric mean of Laplacians
... the arithmetic mean λ i (A) + λ j (B) and geometric mean pλ i (A)λ j (B), respectively, where λ i (·) is the i th smallest eigenvalue of the corresponding ...the arithmetic mean ...
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Sharp bounds for the arithmetic geometric mean
... with the best possible parameters β = / and α = /π . Other inequalities involving AGM can be found in the literature [–]. The aim of this paper is to establish the new inequality chains for the ratio of ...
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Applications of Arithmetic Geometric Mean Inequality
... well-known arithmetic-geometric mean inequality for singular values, due to Bhatia and Kittaneh, is one of the most important singular value in- equalities for compact ...to ...
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Weighted arithmetic–geometric operator mean inequalities
... . (1.7) A great number of results on operator inequalities have been given in the literature, for example, see [4–6] and the references therein. In this paper, motivated by the aforementioned discussion, we extend ...
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Optimal two parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
... Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic ...Yang mean and the inverse tangent ...
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Yet another note on the arithmetic geometric mean inequality
... THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY ZAKHAR KABLUCHKO, JOSCHA PROCHNO, AND VLADISLAV VYSOTSKY ...classical arithmetic-geometric mean inequality can be reversed (up to a ...
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A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
... 1. Bhatia, R., Kittaneh, F.: On the singular values of a product of operators. SIAM J. Matrix Anal. Appl. 11, 272–277 (1990) 2. Bhatia, R., Davis, C.: More matrix forms of the arithmetic–geometric ...
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Extensions of interpolation between the arithmetic geometric mean inequality for matrices
... 8. Zou, L, Jiang, Y: A note on interpolation between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities. J. Math. Inequal. 10(4), 1119-1122 (2016) 9. Ando, T: Matrix Young ...
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Sharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means
... This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, d[r] ...
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Elliptic integrals, the arithmetic-geometric mean and the Brent-Salamin algorithm for π
... Theorem 4.6 has pleasing appli- cations to the calculation of logarithms (assuming π known) and π (assuming logarithms known), exploiting the rapid convergence of the agm iteration.. It [r] ...
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On approximating the quasi arithmetic mean
... 1–β 2 hold for all a, b > 0 with a = b. Our results improve and refine the results given in [67, 68]. 5 Conclusion We present several sharp bounds for the quasi-arithmetic mean in terms of the combina- tion ...
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Inequality (1.1) is also called ν-weighted arithmetic-geometric mean inequality
... Motivated by the above results, in this paper, we obtain some multiplicative refinements and reverses of Jensen’s inequality for positive convex or concave functions of selfadjoint opera[r] ...
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The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities
... 3 Department of Economics, Central University, Accra, Ghana Abstract. In this paper, we show new ways of proving the arithmetic-geometric mean AGM inequality through the first product and the second ...
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