Results 11 to 20 of about 14,223 (121)

Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures [PDF]

Information, 2013
Jensen-Shannon, J-divergence and Arithmetic-Geometric mean divergences are three classical divergence measures known in the information theory and statistics literature.
Inder Jeet Taneja
doaj   +4 more sources

Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean

European Journal of Pure and Applied Mathematics, 2022
We verify the optimal inequalities between generalized logarithmic mean and the weighted arithmetic mean of contra-harmonic and harmonic means.
Annop Sonubon, Somsak Orankitjaroen, Kamsing Nonlaopon   +2 more
openaire   +1 more source

On approximating the quasi-arithmetic mean

Journal of Inequalities and Applications, 2019
In this article, we prove that the double inequalities α1[7C(a,b)16+9H(a,b)16]+(1−α1)[3A(a,b)4+G(a,b)4]
Tie-Hong Zhao, Bu-Chuan Zhou, Miao-Kun Wang, Yu-Ming Chu   +3 more
doaj   +1 more source

Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]

, 2012
In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic ...
Jiang, Wei-Dong, Qi, Feng
core   +1 more source

New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency

Journal of Mathematics, 2020
In this paper, small modification on Improved Euler’s method (Heun’s method) is proposed to improve the efficiency so as to solve ordinary differential equations with initial condition by assuming the tangent slope as an average of the arithmetic mean ...
Abushet Hayalu Workie
doaj   +1 more source

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
doaj   +1 more source

Harmonic mappings of an annulus, Nitsche conjecture and its generalizations [PDF]

, 2009
As long ago as 1962 Nitsche conjectured that a harmonic homeomorphism $h \colon A(r,R) \to A(r_*, R_*)$ between planar annuli exists if and only if $\frac{R_*}{r_*} \ge {1/2} (\frac{R}{r} + \frac{r}{R})$.
Iwaniec, Tadeusz, Kovalev, Leonid V., Onninen, Jani   +2 more
core   +4 more sources

Optimal Bounds of the Arithmetic Mean by Harmonic, Contra-harmonic and New Seiffert-like Means

Asian Research Journal of Mathematics, 2020
We provide the optimal bounds for the arithmetic mean in terms of harmonic, contra-harmonic and new Seiffert-like means.
Wei-Mao Qian, Hui-Zuo Xu
openaire   +2 more sources

Emergence of continual directed flow in Hamiltonian systems [PDF]

, 2010
We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that are unbiased with respect to the transporting ...
Burbanks, A. D., Hennig, D., Mulhern, C., Osbaldestin, A. H.   +3 more
core   +2 more sources

On Seiffert-like means [PDF]

, 2013
We investigate the representation of homogeneous, symmetric means in the form M(x,y)=\frac{x-y}{2f((x-y)/(x+y))}. This allows for a new approach to comparing means. As an example, we provide optimal estimate of the form (1-\mu)min(x,y)+ \mu max(x,y)
Witkowski, Alfred
core   +2 more sources