On the maximum value for Zygmund class on an interval
We prove that if is a continuous real-valued function on with the properties and that is finite for all , which is called Zygmund function on , then . As an application, we obtain a better estimate for Skedwed Zygmund bound in Zygmund class.
Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.