Remarks on $f$-density and $ψ$-density

Rok, strany: 2006, 141 - 149

In [M. Filipczak, T. Filipczak: A generalization of the density topology, to appear] a notion of $f$-density point of a Lebesgue measurable set on the real line was introduced. It is a generalization of a well-known notion of density point and simultaneously a notion of the $ψ$@-density point, introduced by [S. J. Taylor: On strengthening the Lebesgue density theorem, Fund. Math. XLVI, (1959), 305–315]. We examine properties of topologies generated by $f$-density operators, for functions satisfying $łiminf_{x ightarrow 0⁺}$ {$((f(x)) / x)=0$}, and their similarities to $ψ$@-density topologies.

ISO 690:

Filipczak, M., Filipczak, T. 2006. Remarks on $f$-density and $ψ$-density. In Tatra Mountains Mathematical Publications, vol. 34, no.2, pp. 141-149. 1210-3195.

APA:

Filipczak, M., Filipczak, T. (2006). Remarks on $f$-density and $ψ$-density. Tatra Mountains Mathematical Publications, 34(2), 141-149. 1210-3195.