Results 21 to 30 of about 4,094,105 (298)
Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means
Journal of Inequalities and Applications, 2018 In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means in terms of combinations of arithmetic and contra-harmonic means.
Hui-Zuo Xu, Yu-Ming Chu, Wei-Mao Qian
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Improvements of bounds for the Sándor–Yang means
Journal of Inequalities and Applications, 2019 In the article, we provide new bounds for two Sándor–Yang means in terms of the arithmetic and contraharmonic means. Our results are the improvements of the previously known results.
Wei-Mao Qian, Hui-Zuo Xu, Yu-Ming Chu
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Mean squares of quadratic twists of the Möbius function
Journal of Number Theory, 2023 8 ...
Peng Gao, Liangyi Zhao
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Jurnal Pengabdian UNDIKMA, 2022 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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The Generalized Quadratic Gauss Sum and Its Fourth Power Mean
Mathematics, 2019 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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Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
Journal of Inequalities and Applications, 2019 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]
Mathematica Bohemica, 2017 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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On the Mean 3-Rank of Quadratic Fields [PDF]
Compositio Mathematica, 1999 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 geometric, arithmetic and quadratic means [PDF]
Journal of Mathematical Inequalities, 2016 11 ...
Guo, Zhi-Jun +3 more
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Mean-field linear-quadratic stochastic differential games [PDF]
Journal of Differential Equations, 2021 The paper is concerned with two-person zero-sum mean-field linear-quadratic stochastic differential games over finite horizons. By a Hilbert space method, a necessary condition and a sufficient condition are derived for the existence of an open-loop saddle point.
Jingrui Sun, Hanxiao Wang, Zhen Wu
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