Maximal Classes For Lower And Upper Semicontinuous Strong Świątkowski Functions

Abstract

In this paper, we characterize the maximal additive and multiplicative classes for lower and upper semicontinuous strong Świątkowsk functions and lower and upper semicontinuous extra strong Świątkowski functions. Moreover, we characterize the maximal class with respect to maximums for lower semicontinuous strong Świątkowski functions and lower and upper semicontinuous extra strong Świątkowski functions.

Keywords

• Darboux function
• strong Świątkowski function
• extra strong Świątkowski function
• lower semicontinuous function
• upper semicontinuous function