Abstract

In the paper by M. Filipczak, G. Ivanova and J. Wódka, Comparison of some families of real functions in porosity terms, Math. Slovaca 67(5) (2017), 1155–1164, it was proved that the family of quasi-continuous Świątkowski functions is porous but not strongly porous in the space of quasi-continuous functions. We improved this result. We found the unique number q = 2/3 such that the family of quasi-continuous Świątkowski functions is lower q-porous in this space.

中文翻译：

---

关于拟连续函数空间中某些Świątkowski函数的孔隙率

摘要

在M. Filipczak，G。Ivanova和J.Wódka的论文中，用孔隙度术语比较了一些实际函数族，数学。Slovaca 67（5）（2017），1155-1164，事实证明，准连续Świątkowski函数族在准连续函数空间中是多孔的，但不是强多孔的。我们改善了这个结果。我们发现唯一数q = 2/3使得准连续.wiątkowski函数族在该空间中的q孔较低。