Results 21 to 30 of about 227,128 (319)
Universal Journal of Mathematics and Applications, 2021 In this paper we obtain some new additive refinements and reverses of Young's operator inequality via a result of Cartwright and Field. Comparison with other additive Young's type inequalities are also provided.
Sever Dragomır
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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
Mathematics, 2019 The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
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Computation of π Using Arithmetic-Geometric Mean [PDF]
Mathematics of Computation, 1976 A new formula for π \pi is derived. It is a direct consequence of Gauss’ arithmetic-geometric mean, the traditional method for calculating elliptic integrals, and of Legendre’s relation for elliptic integrals. The error analysis shows that its rapid convergence doubles the number of significant digits after each step.
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A Generalization of the Arithmetic-Geometric Means Inequality [PDF]
Proceedings of the American Mathematical Society, 1976 It is shown that the arithmetic mean of x 1 w 1 , … , x n w n {x_1}{w_1}, \ldots ,{x_n}{w_n} exceeds the
Fink, A. M., Jodeit, Max jun.
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Sharp two-parameter bounds for the identric mean
Journal of Inequalities and Applications, 2018 For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of means Qt,s(a,b)=Gs(ta+(1−t)b,(1−t)a+tb)A1−s(a,b), $$ Q_{t,s}(a,b)=G^{s}\bigl(ta+(1-t)b,(1-t)a+tb\bigr)A^{1-s}(a,b), $$ where A and G denote the arithmetic and ...
Omran Kouba
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Inequalities between Arithmetic‐Geometric, Gini, and Toader Means [PDF]
Abstract and Applied Analysis, 2011 We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities and hold for all a, b > 0 with a ≠ b and present some new bounds for the complete elliptic integrals. Here M(a, b), T(a, b), and Sp(a, b) are the arithmetic‐geometric, Toader, and pth Gini means of two positive numbers a and b, respectively.
Chu, Yu-Ming, Wang, Miao-Kun
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Some picture fuzzy mean operators and their applications in decision-making [PDF]
Journal of Fuzzy Extension and Applications, 2022 Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a ...
Hasan Mohammad Kamrul +3 more
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Geometric Mean Curvature Lines on Surfaces Immersed in R3 [PDF]
, 2002 Here are studied pairs of transversal foliations with singularities, defined on the Elliptic region (where the Gaussian curvature $\mathcal K$ is positive) of an oriented surface immersed in $\mathbb R^3$.
Garcia, Ronaldo, Sotomayor, Jorge
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Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
Journal of Inequalities and Applications, 2019 In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means.
Wei-Mao Qian +3 more
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Sharpening the probabilistic arithmetic-geometric mean inequality
, 2023 12 ...
Kaufmann, Tom, Thäle, Christoph
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