On Kemperman's inequality 2f(x)≤ f(x+h)+f(x+2h)
M. Laczkovich (1984)
Colloquium Mathematicae
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M. Laczkovich (1984)
Colloquium Mathematicae
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Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Lj. Kočinac (1991)
Matematički Vesnik
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Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ian Stares (1995)
Commentationes Mathematicae Universitatis Carolinae
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
Marko Švec (1967)
Colloquium Mathematicae
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Volle, M. (1994)
Journal of Convex Analysis
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Andrzej Smajdor (2006)
Annales Polonici Mathematici
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We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).
Martin Gavalec, Ján Plavka (2010)
Kybernetika
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The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.