Errata for the paper: Almost approximately convex functions. (English) Zbl 0659.39005

Ger, Roman

Math. Slovaca 38, No. 4, 423 (1988).

It has been pointed out in the Zbl-review to the author’s paper [ibid. 38, No. 1, 61-78 (1988; Zbl 0641.39006)] that it contains an unusually large number of misprints (by no fault of the author). Now, with the footnote “Editors are excusing (sic) for these misprints”, some are corrected. The most important rectifications of errors, which made the first version difficult to understand, seem to be the following. Correctly: p. 61, line 23 “...open convex domain...”; p. 64, line 18 “...shall say that \({\mathcal S}_ 1\) and \({\mathcal S}_ 2\) are conjugate, provided that for each number M of \({\mathcal S}_ 2\) there exists...”; p. 70, line 5 “...implies that \(\inf_{h\in \Delta (x)\setminus W}(f(x+h)+f(x-h))/2\leq f(x)+2\epsilon\)”; p. 71, line 5 “\(...=\inf ess_{h\in D(x_ 0)}(g(x_ 0+h)+g(x_ 0-h))/2+\epsilon\)”.

Reviewer: J.Aczél

MSC:

39B72	Systems of functional equations and inequalities
26A51	Convexity of real functions in one variable, generalizations

Keywords:

open convex sets; conjugate ideals; infimum; essential infimum; almost approximately convex functions

Citations:

Zbl 0641.39006