A Polynomial Solution for the Potato-peeling Problem.
Displaying 21 – 40 of 362
A Proof of a General Isoperimetric Inequality for Surfaces.
Manfredo do Carmo, Joao Lucas Barbosa (1978)
Mathematische Zeitschrift
A proof of two conjectures related to the Erdős-Debrunner inequality.
Frenzen, C.L., Ionascu, E.J., Stanica, Pantelimon (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
A quantitative isoperimetric inequality in n-dimensional space.
R.R. Hall (1992)
Journal für die reine und angewandte Mathematik
A quantitative version of the isoperimetric inequality : the anisotropic case
Luca Esposito, Nicola Fusco, Cristina Trombetti (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We state and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if is a set with small anisotropic isoperimetric deficit, then is “close” to the Wulff shape set.
A refined Brunn-Minkowski inequality for convex sets
A. Figalli, F. Maggi, A. Pratelli (2009)
Annales de l'I.H.P. Analyse non linéaire
A remark about the directed line-elements in the plane
KÁROLY BEZDEK (1986)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
A reverse isoperimetric inequality for convex plane curves.
Pan, Shengliang, Zhang, Hong (2007)
Beiträge zur Algebra und Geometrie
A separation theorem for finite families
Milan Vlach (1971)
Commentationes Mathematicae Universitatis Carolinae
A sequence of inequalities for certain sets of concurrent cevians.
Roland Eddy (1980)
Elemente der Mathematik
A sharp isoperimetric inequality in the plane
Angelo Alvino, Vincenzo Ferone, Carlo Nitsch (2011)
Journal of the European Mathematical Society
We show that among all the convex bounded domain in having an assigned Fraenkel asymmetry index, there exists only one convex set (up to a similarity) which minimizes the isoperimetric deficit. We also show how to construct this set. The result can be read as a sharp improvement of the isoperimetric inequality for convex planar domain.
A sharpening of a discrete analog of Wirtinger's and isoperimetric inequalities
Pavel Pech (1992)
Mathematica Bohemica
A sharpening of a discrete case of Wirtinger's inequality is given. It is then used to sharpen the isoperimetric unequality for polygons.
A sharpening of discrete analogues of Wirtinger's inequality
Jarmila Novotná (1983)
Časopis pro pěstování matematiky
A stability estimate for the Aleksandrow-Fnechel inequality, with an application to mean curvature.
Rolf Schneider (1990)
Manuscripta mathematica
A stability theorem for the area sum of a convex polygon and its polar reciprocal.
Florian, August (1998)
Mathematica Pannonica
A supplement to Eddy's paper.
D.M. Milosevic (1987)
Elemente der Mathematik
A weighted geometric inequality and its applications.
Liu, Jian (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
About an inequality of Kubota for plane convex figures.
Kripfganz, Anita (1999)
Beiträge zur Algebra und Geometrie
An elementary proof of Blundon's inequality.
Dospinescu, Gabriel, Lascu, Mircea, Pohoata, Cosmin, Tetiva, Marian (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
An extension of Blaschke's theorem in the plane.
P.R. Scott (1991)
Elemente der Mathematik