A Characterization of $h$-Strongly Porous Subsets of $\mathbb{R}$

Abstract

In this paper, strong porosity at $0$ with respect to the sequence $\tilde{\alpha}=\{\alpha_n\}$, $\alpha_n\in\mathbb{R}$ for all $n\in\mathbb{N}$, for subsets of real numbers will be defined. Then, a new characterization for $h$-strongly porous subsets of real numbers by using $\tilde{\alpha}$-strongly porosity notion will be investigeted.