Noise in the image caused a decrease in image quality, so that the image will look dirty and spots appear on the resulting image. Noise also results in reduced information on the resulting image so that noise limits valuable information when image ...
Mhd Furqan +2 more
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Exact inequalities involving power mean, arithmetic mean and identric mean
For \(p\in \mathbb{R}\), the power mean \(M_{p}(a,b)\) of order \(p\), identric mean \(I(a,b)\) and arithmetic mean \(A(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by \begin{equation*} M_{p}(a,b)= \begin{cases} \displaystyle\left(
Yu-ming Chu, Ming-yu Shi, Yue-ping Jiang
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A necessary and sufficient condition for the inequality of generalized weighted means
We present in this paper a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the weights.
Mateu Sbert, Jordi Poch
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Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures [PDF]
From geometrical point of view, Eve (2003) studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean.
Tameja, Inder Jeet
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The Weighted Arithmetic Mean-Geometric Mean Inequality is Equivalent to the Hölder Inequality
In the current note, we investigate the mathematical relations among the weighted arithmetic mean–geometric mean (AM–GM) inequality, the Hölder inequality and the weighted power-mean inequality. Meanwhile, the proofs of mathematical equivalence among the
Yongtao Li, Xianming Gu, Jianxing Zhao
semanticscholar +1 more source
Experimental Demonstration of Squeezed State Quantum Averaging [PDF]
We propose and experimentally demonstrate a universal quantum averaging process implementing the harmonic mean of quadrature variances. The harmonic mean protocol can be used to efficiently stabilize a set of fragile squeezed light sources with ...
A. Berthiaume +11 more
core +5 more sources
Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
In this article, we present the optimal bounds for a special elliptic integral mean in terms of the harmonic combinations of harmonic, geometric, and arithmetic means.
Fan Zhang, Weimao Qian, Hui Zuo Xu
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The precision of the arithmetic mean, geometric mean and percentiles for citation data: An experimental simulation modelling approach [PDF]
When comparing the citation impact of nations, departments or other groups of researchers within individual fields, three approaches have been proposed: arithmetic means, geometric means, and percentage in the top X%.
M. Thelwall
semanticscholar +1 more source
On multiplicities in length spectra of arithmetic hyperbolic three-orbifolds
Asymptotic laws for mean multiplicities of lengths of closed geodesics in arithmetic hyperbolic three-orbifolds are derived. The sharpest results are obtained for non-compact orbifolds associated with the Bianchi groups SL(2,o) and some congruence ...
Anosov D V +27 more
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Equation of Arithmetic Mean Deviation of Roughness Profile
In order to improve the accuracy of gas flowrate measurement by means of the differential pressure flowmeters, it is necessary to apply equations for determination of coefficients of gas flow equation, which would provide the lowest total relative ...
Leonid Lesovoy +2 more
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