1 |
Zs. Pales, On approximately convex functions, Proc. Amer. Math. Soc. 131 (2003), no. 1, 243-252.
DOI
ScienceOn
|
2 |
B. T. Poljak, Existence theorems and convergence of minimizing sequences for extremal problems with constrains, Dokl. Akad. Nauk SSSR 166 (1966), 287-290.
|
3 |
A. W. Roberts and D. E. Varberg, Convex Functions, Academic Press, New York, 1973.
|
4 |
W. Rudin, Real and Complex Analysis, McGraw-Hill, Inc., 1974.
|
5 |
Ja. Tabor, Jo. Tabor, and M. Zoldak, Approximately convex functions on topological vector spaces, Publ. Math. Debrecen 77 (2010), no. 1-2, 115-123.
|
6 |
Ja. Tabor, Jo. Tabor, and M. Zoldak, Strongly midquasiconvex functions, J. Conv. Anal. 20 (2013), no. 2, 531-543.
|
7 |
T. Zgraja, Continuity of functions which are convex with respect to means, Publ. Math. Debrecen 63 (2003), no. 3, 401-411.
|
8 |
J. Aczel, A generalization of the notion of convex functions, Norske Vid. Selsk. Forhdl. Trondheim 19 (1947), no. 24, 87-90.
|
9 |
G. Aumann, Convexe Functionen und die Induktion bei Ungleichungen zwischen Mittelwerten, S.-B. Math. Natur. Abt. Bayer. Akad. Wiss. Munchen (1933), 403-415.
|
10 |
D. H. Hyers and S. M. Ulam, Approximately convex functions, Proc. Amer. Math. Soc. 3 (1952), 821-828.
DOI
ScienceOn
|
11 |
M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, PWN-Uniwersytet Slaski, Warszawa - Krakow - Katowice, 1985.
|
12 |
J. Matkowski, Convex and affine functions with respect to a mean and a characterization of the weighted quasi-arithmetic means, Real Anal. Exchange 29 (2003/04), 229-246.
|
13 |
J. Matkowski and J. Ratz, Convex functions with respect to an arbitrary mean, General inequalities, 7 (Oberwolfach, 1995), 249-258, Internat. Ser. Numer. Math., 123, Birkhuser, Basel, 1997.
|
14 |
N. Merentes and K. Nikodem, Remarks on strongly convex functions, Aequat. Math. 80 (2010), no. 1-2, 193-199.
DOI
|
15 |
C. Niculescu and L. E. Persson, Convex Functions and Their Applications, CMS Books in Mathematics, Springer, 2006.
|
16 |
K. Nikodem and Zs. Pales, Generalized convexity and separation theorems, J. Conv. Anal. 14 (2007), no. 2, 239-247.
|