On O'Malley porouscontinuous functions

Irena Domnik, Stanisław Kowalczyk, Małgorzata Turowska

Abstract


In 2014 J. Bors\'{i}k and J. Holos defined porouscontinuous functions. Using the notion of density in O'Malley sense we introduce new definitions of porouscontinuity, namely $\mathcal{MO}_r$ and $\mathcal{SO}_r$-continuity. Some relevant properties of these classes of functions are discussed.


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