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A Note on Shapley's convex measure games [PDF]
, 2002 L. S. Shapley, in his paper 'Cores of Convex Games', introduces Convex Measure Games, those that are induced by a convex function on R, acting over a measure on the coalitions.
Martínez de Albéniz, F. Javier +1 more
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Impact of Concave and Convex Solid Surfaces By Liquid-Like Projectiles
Tikrit Journal of Engineering Sciences, 2007 A theoretical and experimental investigation of the normal impact of a flat-ended liquid slug onto ductile cylindrical solid targets is presented. The liquid slug is simulated by wax which is known to behave as a liquid in high speed impact situations ...
Riyadh N. Kiter, Sabah A. L. Salem
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On φ-convexity of convex functions
Linear Algebra and its Applications, 1998 The authors construct a non-trivial set \(\Phi\) of extended-real valued functions on \(R^n\) containing all affine functions, such that an extended-real valued function defined on \(R^n\) is convex if and only if it is \(\Phi\)-convex, i.e., it is the pointwise supremum of some subset of \(\Phi\). They also prove a new sandwich theorem.
Martínez-Legaz, Juan-Enrique +1 more
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Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians
Open Mathematics, 2020 We consider the classical functional of the Calculus of Variations of the ...
Mariconda Carlo, Treu Giulia
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Non-Linear Inner Structure of Topological Vector Spaces
Mathematics, 2021 Inner structure appeared in the literature of topological vector spaces as a tool to characterize the extremal structure of convex sets. For instance, in recent years, inner structure has been used to provide a solution to The Faceless Problem and to ...
Francisco Javier García-Pacheco +3 more
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Computational Geometry, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esther M. Arkin +6 more
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On the moduli of convexity [PDF]
Proceedings of the American Mathematical Society, 2007 [EN] It is known that, given a Banach space (X, parallel to center dot parallel to), the modulus of convexity associated to this space delta X is a non-negative function, nondecreasing, bounded above by the modulus of convexity of any Hilbert space and satisfies the equation delta x(epsilon)/epsilon(2)
Guirao, A. J., Hájek, P. (Petr Pavel)
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The Curve Shortening Flow in the Metric-Affine Plane
Mathematics, 2020 We investigated, for the first time, the curve shortening flow in the metric-affine plane and prove that under simple geometric condition (when the curvature of initial curve dominates the torsion term) it shrinks a closed convex curve to a “round point”
Vladimir Rovenski
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Near Convexity, Metric Convexity, and Convexity
Rocky Mountain Journal of Mathematics, 2007 Many aspects of convexity in a normed space, hidden by the classical use of the obscure principle of excluded middle, are only revealed by a constructive approach. This paper studies various types of convexity, introducing several new concepts; it uses methods proposed by \textit{E.\,A.\thinspace Bishop} in Chapter~1 of ``A Constructivist Manifesto ...
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Assessment of Turbulence Models over a Curved Hill Flow with Passive Scalar Transport
Energies, 2022 An incoming canonical spatially developing turbulent boundary layer (SDTBL) over a 2-D curved hill is numerically investigated via the Reynolds-averaged Navier–Stokes (RANS) equations plus two eddy-viscosity models: the K−ω SST (henceforth SST) and the ...
David Paeres +2 more
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