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On \( \mathcal{S} \)-approximately continuous functions

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Abstract

This paper concerns a generalization of approximately continuous functions, namely \( \mathcal{S} \)-approximately continuous functions. This notion is associated with \( \mathcal{S} \)-density points, where \( \mathcal{S} \) is a sequence of measurable sets tending to 0. Moreover, we present some properties of these functions and show their connection with measurable functions, functions from the first Baire class, and Darboux functions.

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  1. Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, PL-90-238, Łódź, Poland

    Renata Wiertelak

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  1. Renata Wiertelak
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Correspondence to Renata Wiertelak.

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Wiertelak, R. On \( \mathcal{S} \)-approximately continuous functions. Lith Math J 61, 96–105 (2021). https://doi.org/10.1007/s10986-020-09502-9

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  • DOI: https://doi.org/10.1007/s10986-020-09502-9

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