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Technical Note: Why Quadratic Mean Diameter? [PDF]

open access: yesWestern Journal of Applied Forestry, 2000
Abstract Quadratic mean diameter is the measure of average tree diameter conventionally used in forestry, rather than arithmetic mean diameter. The historical and practical reasons for this convention are reviewed. West. J. Appl. For. 15(3):137-139.
Robert O. Curtis, David D. Marshall
openaire   +1 more source

The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

open access: yesMathematics, 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
doaj   +1 more source

Approximate tri-quadratic functional equations via Lipschitz conditions [PDF]

open access: yesMathematica 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
doaj   +1 more source

Quadratic interpolation of the Heinz means [PDF]

open access: yesMathematical Inequalities & Applications, 2018
The main goal of this article is to present several quadratic refinements and reverses of the well known Heinz inequality, for numbers and matrices, where the refining term is a quadratic function in the mean parameters. The proposed idea introduces a new approach to these inequalities, where polynomial interpolation of the Heinz function plays a major
Kittaneh, Fuad   +2 more
openaire   +2 more sources

New numerical methods for mean field games with quadratic costs

open access: yesNetworks and Heterogeneous Media, 2012
Mean field games have been introduced by J.-M. Lasry and P.-L. Lions in [13, 14, 15] as the limit case of stochastic differential games when the number of players goes to $+\infty$. In the case of quadratic costs, we present two changes of variables that
Olivier Guéant
doaj   +1 more source

Linear Quadratic Mean Field Type Control and Mean Field Games with Common Noise, with Application to Production of an Exhaustible Resource [PDF]

open access: yesApplied Mathematics and Optimization, 2016
We study a general linear quadratic mean field type control problem and connect it to mean field games of a similar type. The solution is given both in terms of a forward/backward system of stochastic differential equations and by a pair of Riccati ...
P. J. Graber
semanticscholar   +2 more sources

Quadratic BSDEs with mean reflection

open access: yesMathematical Control and Related Fields, 2018
The present paper is devoted to the study of the well-posedness of BSDEs with mean reflection whenever the generator has quadratic growth in the $z$ argument. This work is the sequel of Briand et al. [BSDEs with mean reflection, arXiv:1605.06301] in which a notion of BSDEs with mean reflection is developed to tackle the super-hedging problem under ...
Hibon, Hélène   +4 more
openaire   +5 more sources

Quadratic refinements of matrix means [PDF]

open access: yesStudia Universitatis Babes-Bolyai Matematica, 2017
The main target of this article is to present refinements of the  matrix arithmetic-geometric mean inequality. The main difference between these refinements and the ones in the literature is the quadratic behavior of the refining terms. These refinements include the L\"{o}ewner partial ordering, determinants, trace and unitarily invariant norms ...
openaire   +1 more source

Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean

open access: yesJournal 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
doaj   +1 more source

Parallel mean curvature surfaces in four-dimensional homogeneous spaces [PDF]

open access: yes, 2017
We survey different classification results for surfaces with parallel mean curvature immersed into some Riemannian homogeneous four-manifolds, including real and complex space forms, and product spaces.
Manzano, José M.   +2 more
core   +1 more source

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