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
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.