Relative isodiametric inequalities.
Cerdán, A., Miori, C., Segura Gomis, S. (2004)
Beiträge zur Algebra und Geometrie
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Cerdán, A., Miori, C., Segura Gomis, S. (2004)
Beiträge zur Algebra und Geometrie
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A. W. J. Stoddart (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Luca Esposito, Nicola Fusco, Cristina Trombetti (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
C. O. Imoru (1975)
Matematički Vesnik
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J. D. Kečkić (1970)
Matematički Vesnik
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Martini, Horst, Mustafaev, Zokhrab (2010)
Journal of Inequalities and Applications [electronic only]
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Bezdek, Károly, Braß, Peter, Harborth, Heiko (1994)
Beiträge zur Algebra und Geometrie
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Jacek Tabor, Józef Tabor (2009)
Studia Mathematica
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There are many inequalities which in the class of continuous functions are equivalent to convexity (for example the Jensen inequality and the Hermite-Hadamard inequalities). We show that this is not a coincidence: every nontrivial linear inequality which is valid for all convex functions is valid only for convex functions.
Kripfganz, Anita (1999)
Beiträge zur Algebra und Geometrie
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Kurz, Sascha (2008)
Beiträge zur Algebra und Geometrie
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P. M. Vasić, J. E. Pečarić (1982)
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