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

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).


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


Zbl 1212.26016