## Real Analysis Exchange

### On local characterization of the strong Światkowski property for a function f:[a,b]→ℝ.

#### Abstract

In this paper we introduce the idea of a function having the strong \'Swi\c{a}tkowski property at a point. The main result of this work is proving that the class of functions which have the %locally" strong \'Swi\c{a}tkowski property at each point, is equal to the class of all strong \'Swi\c{a}tkowski functions.

#### Article information

Source
Real Anal. Exchange, Volume 28, Number 2 (2002), 563-572.

Dates
First available in Project Euclid: 20 July 2007