International Journal of Mathematics and Mathematical Sciences 
Volume 7 (1984), Issue 4, Pages 803-808
doi:10.1155/S016117128400082X

Dynamical properties of maps derived from maps with strong negative Schwarzian derivative

Abraham Boyarsky

 Department of Mathematics, Loyola Campus, Concordia University, Montréal H4B 1R6, Canada
Received 13 February 1984

Abstract

A strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0 as a stable periodic point and at most one other stable periodic orbit in the interior of the domain.