Title:
|
Almost approximately convex functions (English) |
Author:
|
Ger, Roman |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
38 |
Issue:
|
1 |
Year:
|
1988 |
Pages:
|
61-78 |
. |
Category:
|
math |
. |
MSC:
|
03E15 |
MSC:
|
16L30 |
MSC:
|
28C10 |
MSC:
|
39B72 |
MSC:
|
46A03 |
idZBL:
|
Zbl 0641.39006 |
idMR:
|
MR945081 |
. |
Date available:
|
2009-09-25T10:06:42Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129503 |
. |
Related article:
|
http://dml.cz/handle/10338.dmlcz/136478 |
. |
Reference:
|
[1] CHOLEWA P. W.: Remarks on the stability of functional equations.Aequationes Math. 27 (1984), pp. 76-86. Zbl 0549.39006, MR 0758860 |
Reference:
|
[2] CHRISTENSEN J. P. R.: On sets of Haar measure zero in Abelian Polish groups.Israel Journal Math. 13 (1972), pp. 255-260. MR 0326293 |
Reference:
|
[3] DHOMBRES J., GER R.: Conditional Cauchy equations.Glasnik Mat. 13 (1978), pp. 39-62. Zbl 0384.39004, MR 0499880 |
Reference:
|
[4] FISCHER P., SLODKOWSKI Z.: Christensen zero sets and measurable convex functions.Proc. Amer. Math. Soc. 79(1980), pp. 449-453. Zbl 0444.46010, MR 0567990 |
Reference:
|
[5] GER R.: Almost approximately additive mappings.Proceedings of the Third International Conference on General Inequalities. Edited by E. F. Beckenbach and W. Walter, ISNM 64, Birkhauser Verlag, Basel und Stuttgart, 1983, pp. 263-276. Zbl 0519.39009, MR 0785782 |
Reference:
|
[6] GREEN J. W.: Approximately convex functions.Duke Math. J. 19 (1952), pp. 499-504. Zbl 0047.29601, MR 0049963 |
Reference:
|
[7] HYERS B. H., ULAM S.: Approximately convex functions.Proc. Amer. Math. Soc. 3 (1952), pp. 821-828. Zbl 0047.29505, MR 0049962 |
Reference:
|
[8] KUCZMA M.: Almost convex functions.Colloquium Math. 21 (1970), pp. 279-284. Zbl 0201.38701, MR 0262436 |
Reference:
|
[9] KUCZMA M.: An introduction to the theory of functional equations and inequalities.Polish Scientific Publishers and Uniwersytet Slaski, Warszawa-Krakow-Katowice, 1985. Zbl 0555.39004, MR 0788497 |
Reference:
|
[10] REICH L.: .Oral Communication. Zbl 1241.00017 |
Reference:
|
[11] WALTER W.: .Oral communication. Zbl 1241.62063 |
. |