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Using Kansas Farm data from 1973 to 1998, curvature restrictions are imposed on a translog cost function. Using uninformative priors with indicator functions representing distribution and inequality constraints, a Markov Chain Monte Carlo Simulation ...
Featherstone, Allen M. +2 more
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Quasiconvexity of sum of quasiconvex functions
Quasiconvexity of sum of quasiconvex functionsopenaire
Duality theorems for quasiconvex programming with a reverse quasiconvex constraint
Duality theorems for quasiconvex programming with a reverse quasiconvex constraintopenaire
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Optimal Design and Constrained Quasiconvexity
SIAM Journal on Mathematical Analysis, 2000The author considers an optimal design problem of the form \[ \text{Minimize }I(g) = \int_\Omega W(x,g(x),w(x), \nabla w(x)) dx, \] with \(g(x) \in \{a,b\}\), \({1\over |\Omega|} \int_\Omega g = \lambda a + (1 - \lambda)b\), \(\lambda \in(0,1)\) is fixed, \(w\in H^1_0(\Omega)\) is the solution of -div\((g \nabla w)=f\) for a given \(f \in H^{-1}(\Omega)
Pablo Pedregal
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On second order conditions for quasiconvexity
Mathematical Programming, 1980The paper presents a sufficient condition for quasiconvexity in terms of Hessian, hereby extending an earlier result by Katzner in 1970, and (by a slight modification of the assumptions) a necessary and sufficient condition for quasiconvexity.
Jean-Pierre Crouzeix +1 more
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Approximation of quasiconvex functions by neatly quasiconvex functions
Optimization Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Suliman Al-Homidan, Loai Shaalan
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Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences
2021We first introduce the class of strictly quasiconvex and strictly quasiconcave Jensen divergences which are asymmetric distances, and study some of their properties. We then define the strictly quasiconvex Bregman divergences as the limit case of scaled and skewed quasiconvex Jensen divergences, and report a simple closed-form formula which shows that ...
Frank Nielsen, Gaëtan Hadjeres
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Homogenization of Functionals with Linear Growth in the Context of $$\mathcal A$$ A -quasiconvexity [PDF]
Applied Mathematics and Optimization, 2015 This work deals with the homogenization of functionals with linear growth in the context of A-quasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between ...
JOSÉ Matias +2 more
exaly +2 more sources