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>ERRATA CORRIGE TO: 'APPROXIMATION BY MEANSOF NONLINEAR INTEGRAL OPERATORS IN THE SPACEOF FUNCTIONS WITH BOUNDED φ—VARIATION'
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ERRATA CORRIGE TO: 'APPROXIMATION BY MEANSOF NONLINEAR INTEGRAL OPERATORS IN THE SPACEOF FUNCTIONS WITH BOUNDED φ—VARIATION'
Here the authors want to point out that the term /2, of Proposition 2 of theoriginal paper ([2]), has to be estimated in a different way. Moreover, nowthe proof of Theorem 4 of the original paper holds with the new assumption(2) (involving Kw.3)' mentioned below), instead of (6.2) of [2] (involvingKw.3) of the original paper), while, since Theorem 3 (convergence theorem)can be proved with both assumptions Kw.3) and Kw.3)', we prefer here touse directly Kw.3)', in analogy with condition (2). Let us notice that it iseasy to see that the two conditions Kw.3) and Kw.3)' cannot be compared.Here we want also to point out that in the convergence theorem of [3] as wellas in Lemma 2 of [3], a similar problem occurs and it is solved in the sameway proving that liy,[A(Hw o f — f)]-40, as W-4 + Do for sufficiently smallA > 0, using assumption Kw.3) (see Remark below).
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