The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

On a Problem on Periodic Functions


Adel A. Abdelkarim

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



Given a continuous periodic real function f with n translates  f1 ,..., fn , where fi(x)=f(x+ai), i=1,...,n. We solve a problem by Erdos and Chang and show that there are rational numbers r,s such that f(r)≥ fi(r), f(s)≤ fi(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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