Results 21 to 30 of about 121,109 (265)
This community service activity aimed to improve students’ ability in solving algebra’s problems in National Science Competition (KSN) in field of mathematics especially in topic of inequalities related to quadratic mean, arithmetic mean, geometrics mean,
Herizal Herizal
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Mean squares of quadratic twists of the Möbius function
8 ...
Peng Gao, Liangyi Zhao
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The Generalized Quadratic Gauss Sum and Its Fourth Power Mean
In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two ...
Shimeng Shen, Wenpeng Zhang
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On the Mean 3-Rank of Quadratic Fields [PDF]
The Cohen–Lenstra–Martinet heuristics give precise predictions about the class groups of a ’random‘ number field. The 3-rank of quadratic fields is one of the few instances where these have been proven. We prove that, in this case, the rate of convergence is at least sub-exponential.
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Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
In the article, we prove that λ1=1/2+[(2+log(1+2))/2]1/ν−1/2 $\lambda _{1}=1/2+\sqrt{ [ (\sqrt{2}+ \log (1+\sqrt{2}) )/2 ]^{1/\nu }-1}/2$, μ1=1/2+6ν/(12ν) $\mu _{1}=1/2+\sqrt{6 \nu }/(12\nu )$, λ2=1/2+[(π+2)/4]1/ν−1/2 $\lambda _{2}=1/2+\sqrt{ [(\pi +2)/4
Wei-Mao Qian +3 more
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Approximate tri-quadratic functional equations via Lipschitz conditions [PDF]
In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic ...
Ismail Nikoufar
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Sharp bounds for Neuman means in terms of geometric, arithmetic and quadratic means [PDF]
11 ...
Guo, Zhi-Jun +3 more
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The paper studies the notion of Stepanov almost periodicity (or $S^2$-almost periodicity) for stochastic processes, which is weaker than the notion of quadratic-mean almost periodicity.
P. Bezandry, Toka Diagana
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Quadratic refinements of matrix means [PDF]
The main target of this article is to present refinements of the matrix arithmetic-geometric mean inequality. The main difference between these refinements and the ones in the literature is the quadratic behavior of the refining terms. These refinements include the L\"{o}ewner partial ordering, determinants, trace and unitarily invariant norms ...
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MSE in Estimating Variance Components [PDF]
Best unbiased estimators for the variance of the MINQUE (Minimum Norm Quadratic Unbiased Estimators) and the MSE (Mean Square Error) of the PSD-MINQMBE (Positive Semi Definite- Minimum Norm Quadratic Unbiased Estimators), in estimating the variance ...
A. Shaban
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