


Paper Title:
On a Problem on Periodic Functions
Author(s):
Adel A. Abdelkarim
Mathematics Department, Faculty of
Science,
Jerash Private University, Jerash,
Jordan.
Email:
adelafifo_afifo@yahoo.com
Abstract:
Given a continuous periodic real function f with n translates f_{1 },..., f_{n} , where f_{i}(x)=f(x+a_{i}), i=1,...,n. We solve a problem by Erdos and Chang and show that there are rational numbers r,s such that f(r)≥ f_{i}(r), f(s)≤ f_{i}(s), i=1,...,n. No restrictions on the constants or any further restriction on the function f are necessary as was imposed earlier.
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