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Harmonic Manifolds and Tubes [PDF]

open access: yes, 2017
The authors showed in a preceding paper that in a connected locally harmonic manifold, the volume of a tube of small radius about a regularly parameterized simple arc depends only on the length of the arc and the radius.
Csikós, Balázs, Horváth, Márton
core   +3 more sources

On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation [PDF]

open access: yes, 2016
The Duffing oscillator is probably the most popular example of a nonlinear oscillator in dynamics. Considering the case of softening Duffing oscillator with weak damping and harmonic excitation and performing standard methods like harmonic balance or ...
Lentz, Lukas, Wagner, Utz von
core   +1 more source

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

open access: yes, 2012
From geometrical point of view, Eve (2003) studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean.
Tameja, Inder Jeet
core   +2 more sources

Sharp two-parameter bounds for the identric mean

open access: yesJournal 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
doaj   +1 more source

Weighted inequalities for harmonic means [PDF]

open access: yesMathematical Inequalities & Applications, 2006
https://mia.ele-math.com/open ...
Ortega-Salvador, Pedro   +1 more
openaire   +3 more sources

Soliton ratchets induced by ac forces with harmonic mixing [PDF]

open access: yes, 2001
The ratchet dynamics of a kink (topological soliton) of a dissipative sine-Gordon equation in the presence of ac forces with harmonic mixing (at least bi-harmonic) of zero mean is studied.
A.K. Vidybida   +38 more
core   +2 more sources

On Submanifolds with Harmonic Mean Curvature [PDF]

open access: yesProceedings of the American Mathematical Society, 1995
The classification of curves in E m {E^m} with harmonic mean curvature vector field in the normal bundle is obtained and then it is used to obtain some applications.
Barros, Manuel, Garay, Oscar J.
openaire   +1 more source

Sharp Power Mean Bounds for the One-Parameter Harmonic Mean

open access: yesJournal of Function Spaces, 2015
We present the best possible parameters α=α(r) and β=β(r) such that the double inequality Mα(a,b)
Yu-Ming Chu, Li-Min Wu, Ying-Qing Song
doaj   +1 more source

OMPLEMENTARY OF CLASSICAL MEANS WITH RESPECT TO HERON MEAN AND THEIR SCHUR CONVEXITIES [PDF]

open access: yesProceedings on Engineering Sciences, 2021
In this paper, the complementary of arithmetic mean, geometric mean, harmonic mean and contra harmonic mean with respect to Heron mean are defined. Further, by finding the partial derivatives developed the Schur convexity and Schur geometric convexity ...
K M Nagaraja   +3 more
doaj   +1 more source

Quantum bright solitons in a quasi-one-dimensional optical lattice [PDF]

open access: yes, 2014
We study a quasi-one-dimensional attractive Bose gas confined in an optical lattice with a superimposed harmonic potential by analyzing the effective one-dimensional Bose-Hubbard Hamiltonian of the system.
Barbiero, Luca, Salasnich, Luca
core   +2 more sources

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