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Abstrakty
In this paper, we investigate a functional equation related to some recently introduced and investigated convexity type inequalities.
Czasopismo
Rocznik
Tom
Strony
269--277
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
autor
- University of Debrecen Institute of Mathematics H-4010 Debrecen, Pf. 12, Hangary, maksa@math.klte.hu
Bibliografia
- [1] P. Burai, A. Hazy, On Orlicz-convex functions, Proc. of the 12th Symposium of Mathematics and Its Applications, Editura Politechnica, Temesvar, (2010), 73–79.
- [2] P. Burai, A. Hazy, Bernstein-Doetsch type results for generalized convex functions, Proc. of the 12th Symposium of Mathematics and Its Applications, Editura Politechnica, Temesvar, (2010), 118–124.
- [3] P. Burai, A. Hazy, T. Juhasz, Bernstein-Doetsch type results for s-convex functions, Publ. Math. Debrecen 75 (2009) 1–2, 23-31.
- [4] P. Burai, A. Hazy, On approximately h-convex functions, accepted for publication, Journal of Convex Analysis, available electronically http://www.heldermann.de/JCA/JCA18/JCA182/jca18029.htm.
- [5] W.W. Breckner, Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer Funktionen in topologischen linearen Räumen, Publ. Inst. Math. (Beograd) 23 (1978), 13–20.
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- [7] G. Darboux, Sur la composition des forces en statique, Bull. Sci. Math. 9 (1875) 1, 281–288.
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- [9] Z. Daroczy, Zs. Pales, Convexity with given infinite weight sequences, Stochastica 11 (1987), 5–12.
- [10] E.K. Godunova, V.I. Levin, Neravenstva dlja funkcii sirokogo klassa, soderzascego vypuklye, monotonnye i nekotorye drugie vidy funkii, Vycislitel. Mat. i. Fiz. Mezvuzov. Sb. Nauc. Trudov, MGPI, Moskva, 1985, pp. 138–142.
- [11] A. Hazy, Bernstein-Doetsch type results for h-convex functions, accepted for publication, Math. Ineq. Appl. (2011).
- [12] H. Hudzik, L. Maligranda, Some remarks on si-convex functions, Aequationes Math. 48 (1994), 100–111.
- [13] M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, Prace Naukowe Uniwersytetu Śląskiego w Katowicach Vol. CDLXXXIX (Państwowe Wydawnictwo Naukowe – Uniwersytet Śląski, Warszawa–Krakow–Katowice, 1985).
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- [18] C.E.M. Pearce, A.M. Rubinov, P-functions, quasi-convex functions and Hadamard-type inequalities, J. Math. Anal. Appl. 240 (1999), 92–104.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0005-0007