  Aim of this article is to prove the inequality $n \sum_{i=1}^{n} a_ib_i \leq
\sum_{i=1}^{n} a_i \sum_{i=1}^n b_i$ when $a_i$ are $n$ increasing positive
real numbers and $b_i$ are $n$ decreasing real numbers. We also prove
generalizations of this result.
