The Mathematics Magazine journal presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years. Mathematics Magazine is published five times per year. It also publishes a prestigious and interesting section of proposed problems, currently 4 each issue. Below there is a selection of such proposed problems which I published in the journal.

List of the published Mathematics Magazine proposals

1. Problem 1666, Mathematics Magazine (October 2003)

An extension of the 3-variable Schur inequality

Let with f increasing and g analytic. Suppose that for all , n integer. Show that

for all such that (or a circular permutation arrangement) and where the above summation is considered in a cyclic way.

2. Problem 1652, Mathematics Magazine (June 2002)

Let R and r be the circumradius and inradius respectively of triangle ABC and let p denote its semiperimeter. Prove the following inequalities, and show that in each casethe constant on the right hand side is the best possible:

a) . b) . c) .