On affine subspaces that illuminate a convex set.
Bezdek, Károly (1994)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Affine and convex functions with respect to the logarithmic mean”
On affine subspaces that illuminate a convex set.
Convex functions with respect to logarithmic mean and ѕandwich theorem
Zygfryd Kominek, T. Zgraja (1999)
Acta Universitatis Carolinae. Mathematica et Physica
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On a functional equation containing four weighted arithmetic means.
Varga, Adrienn (2008)
Banach Journal of Mathematical Analysis [electronic only]
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On affine geometric product objects
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Iteration semigroups with generalized convex, concave and affine elements.
Krassowska, Dorota (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Affine isoperimetric problems and surfaces with constant affine mean curvature.
F. Milán, A. Martínez (1992)
Manuscripta mathematica
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Affine bijections of C(X,I)
Janko Marovt (2006)
Studia Mathematica
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Let 𝒳 be a compact Hausdorff space which satisfies the first axiom of countability, I = [0,1] and 𝓒(𝒳,I) the set of all continuous functions from 𝒳 to I. If φ: 𝓒(𝒳,I) → 𝓒(𝒳,I) is a bijective affine map then there exists a homeomorphism μ: 𝒳 → 𝒳 such that for every component C in 𝒳 we have either φ(f)(x) = f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C, or φ(f)(x) = 1-f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C.
On the affine rectification of convex curves.
Leichtweiss, Kurt (1999)
Beiträge zur Algebra und Geometrie
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An affine framework for analytical mechanics
Paweł Urbański (2003)
Banach Center Publications
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An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.
Bifurcations of affine invariants for one-parameter family of generic convex plane curves
Takashi Sano (1999)
Banach Center Publications
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure
Andrew Lorent (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this note we give sharp lower bounds for a non-convex functional when minimised over the space of functions that are piecewise affine on a triangular grid and satisfy an affine boundary condition in the second lamination convex hull of the wells of the functional.