Results 21 to 30 of about 4,387,980 (294)
GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]
, 2002 This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
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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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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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Arithmetic–Geometric Mean determinantal identity
Linear Algebra and its Applications, 2011 For any \(n\) by \(n\) matrix \(A\), let \(A_{r}\left[ i,j\right] \) denote an \(r\) by \(r\) submatrix consisting of r contiguous rows and columns of \(A\), starting with row \(i\) and column \(j\). Let also the superscript \(t\) stands for transposition of a matrix and \(J_{n}\) be an all-one matrix of order \(n\).
Bayat, M., Teimoori, H.
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Journal of Inequalities and Applications, 2017 In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ and μ = μ ( p ) $\mu=\mu(p)$ on the interval [ 0 , 1 / 2 ] $[0, 1/2]$ such that the double inequality G p [ λ a + ( 1 − λ ) b , λ b + ( 1 − λ ) a ] A 1 − p ( a , b )
Wei-Mao Qian, Yu-Ming Chu
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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
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A Gauss type functional equation
International Journal of Mathematics and Mathematical Sciences, 2001 Gauss' functional equation (used in the study of the arithmetic-geometric mean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means.
Silvia Toader +2 more
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Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
Journal of Inequalities and Applications, 2022 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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A Proof of the Arithmetic Mean-Geometric Mean-Harmonic Mean Inequalities [PDF]
, 1999 In the note, using Cauchy-Schwartz-Buniakowski's inequality, the authors give a new proof of the arithmetic mean-geometric mean-harmonic mean ...
Xia, Da-Feng, Qi, Feng, Xu, Sen-Lin
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On a result of Cartwright and Field
Journal of Inequalities and Applications, 2018 Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1 \leq i \leq n$, with qi>
Peng Gao
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