Maximal classes for the family of strong Światkowski functions.

Abstract

In this paper we introduce the class of extra strong \'Swi\c{a}tkowski functions, and we characterize the following maximal classes for the families of strong \'Swi\c{a}tkowski and extra strong \'Swi\c{a}tkowski functions: the maximal additive class, the maximal multiplicative class, and the maximal class with respect to maximums.