Paper Title:

On a Problem on Periodic Functions

Author(s):

Adel A. Abdelkarim

Mathematics Department, Faculty of Science,
Jerash Private University, Jerash,
Jordan.

E-mail: adelafifo_afifo@yahoo.com
 

Abstract:

Given a continuous periodic real function f with n translates  f₁ ,..., 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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