Almost approximately convex functions

Roman Ger

Mathematica Slovaca (1988)

  • Volume: 38, Issue: 1, page 61-78
  • ISSN: 0232-0525

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Ger, Roman. "Almost approximately convex functions." Mathematica Slovaca 38.1 (1988): 61-78. <http://eudml.org/doc/31836>.

@article{Ger1988,
author = {Ger, Roman},
journal = {Mathematica Slovaca},
keywords = {convex functions; functionals; sets; Haar zero sets; meager sets; stability of functional inequalities; linearly invariant set ideals; bounded, epsilon-convex, midpoint-convex functions},
language = {eng},
number = {1},
pages = {61-78},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Almost approximately convex functions},
url = {http://eudml.org/doc/31836},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Ger, Roman
TI - Almost approximately convex functions
JO - Mathematica Slovaca
PY - 1988
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 38
IS - 1
SP - 61
EP - 78
LA - eng
KW - convex functions; functionals; sets; Haar zero sets; meager sets; stability of functional inequalities; linearly invariant set ideals; bounded, epsilon-convex, midpoint-convex functions
UR - http://eudml.org/doc/31836
ER -

References

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  1. CHOLEWA P. W., Remarks on the stability of functional equations, Aequationes Math. 27 (1984), pp. 76-86. (1984) Zbl0549.39006MR0758860
  2. CHRISTENSEN J. P. R., On sets of Haar measure zero in Abelian Polish groups, Israel Journal Math. 13 (1972), pp. 255-260. (1972) MR0326293
  3. DHOMBRES J., GER R., Conditional Cauchy equations, Glasnik Mat. 13 (1978), pp. 39-62. (1978) Zbl0384.39004MR0499880
  4. FISCHER P., SLODKOWSKI Z., Christensen zero sets and measurable convex functions, Proc. Amer. Math. Soc. 79(1980), pp. 449-453. (1980) Zbl0444.46010MR0567990
  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. (1983) Zbl0519.39009MR0785782
  6. GREEN J. W., Approximately convex functions, Duke Math. J. 19 (1952), pp. 499-504. (1952) Zbl0047.29601MR0049963
  7. HYERS B. H., ULAM S., Approximately convex functions, Proc. Amer. Math. Soc. 3 (1952), pp. 821-828. (1952) Zbl0047.29505MR0049962
  8. KUCZMA M., Almost convex functions, Colloquium Math. 21 (1970), pp. 279-284. (1970) Zbl0201.38701MR0262436
  9. KUCZMA M., An introduction to the theory of functional equations and inequalities, Polish Scientific Publishers and Uniwersytet Slaski, Warszawa-Krakow-Katowice, 1985. (1985) Zbl0555.39004MR0788497
  10. REICH L., [unknown], Oral Communication. Zbl1241.00017
  11. WALTER W., [unknown], Oral communication. Zbl1241.62063

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