Errata corrige to: “Approximation by means of nonlinear integral operators in the space of functions with bounded \(\varphi \)-variation”. (English) Zbl 1240.26016

Angeloni, Laura; Vinti, Gianluca

Differ. Integral Equ. 23, No. 7-8, 795-799 (2010).

From the introduction: The authors want to point out that the term \(I_2\), of Proposition 2 of the original paper [ibid. 20, No. 3, 339–360 (2007; Zbl 1212.26016)] has to be estimated in a different way. Moreover, now the proof of Theorem 4 of the original paper holds with the new assumption (2) instead of (6.2) of the original paper, while, since Theorem 3 (convergence theorem) can be proved with both assumptions Kw.3) and Kw.3’), we prefer here to use directly Kw.3’) in analogy with condition (2).

MSC:

26A45	Functions of bounded variation, generalizations
26A46	Absolutely continuous real functions in one variable
41A35	Approximation by operators (in particular, by integral operators)

Keywords:

function with bounded \(\varphi \)-variation

Citations:

Zbl 1212.26016