On a lower and upper bound for the curvature of ellipses with more than two foci

DOI10.1016/j.exmath.2007.06.003zbMath1143.53006OpenAlexW2017882062MaRDI QIDQ2474001

Adrienn Varga, Csaba Vincze

Publication date: 5 March 2008

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2007.06.003

zbMATH Keywords

curvatureextremum problemsapproximation by convex sets

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04) Approximation by convex sets (52A27)

Related Items (6)

On computable classes of equidistant sets: finite focal sets ⋮ On a special type of generalized Berwald manifolds: semi-symmetric linear connections preserving the Finslerian length of tangent vectors ⋮ An introduction to the theory of generalized conics and their applications ⋮ Steiner reducing sets of minimum weight triangulations: Structure and topology ⋮ On the theory of generalized conics with applications in geometric tomography ⋮ On the location of the minimum point in the Euclidean distance sum problem

Cites Work

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• Convex analysis and nonlinear optimization. Theory and examples
• Polyconics. I. Polyellipses and optimization
• On Generalizations of Conics and on a Generalization of the Fermat- Torricelli Problem
• The Fermat-Steiner Problem

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