Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Strong convexity is considered for real functions defined on a real interval. Probabilistic characterization is given and its geometrical sense is explained. Using this characterization some inequalities of Jensen-type are obtained.
Czasopismo
Rocznik
Tom
Strony
97--103
Opis fizyczny
Bibliogr. 6 poz., wykr.
Twórcy
autor
autor
- University of Bielsko-Biała Department of Mathematics and Computer Science Willowa 2, 43-309 Bielsko-Biała, Poland, trajba@ath.bielsko.pl
Bibliografia
- [1] E.F. Beckenbach, Generalized convex functions, Bull. Amer. Math. Soc. 43 (1937), 363-371.
- [2] P. Billingsley, Probability and Measure, John Wiley & Sons, New York, 1995.
- [3] J.B. Hiriart-Urruty, C. Lemaréchal, Fundamentals of convex analysis, Springer-Verlag, Berlin, Heidelberg 2001.
- [4] N. Merentes, K. Nikodem, Remarks on strongly convex functions, Aequationes Math. 80 (2010), 193-199.
- [5] K. Nikodem, Zs. Páles, Characterizations of inner product spaces by strongly convex functions, Banach J. Math. Anal. 5 (2011) 1, 83-87.
- [6] A.W. Roberts, D.E. Varberg, Convex Functions, Academic Press, New York-London, 1973.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0003-0030