On regulated functions

By Józef Banas, M. Kot. 2017

82 citations recorded by the source corpus.

: The main purpose of this review article is to present the concept of a regulated function and to indicate the connection of the class of regulated functions with other significant classes of functions. In par-ticular, we give a characterization of regulated functions in terms of step functions and we show that the linear space of regulated functions forms a Banach space under the classical supremum norm.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/704a5183ba0d86ba8023dc847280af1f244bb0c5