Solving Range Minimum Queries using Binary Indexed Trees (Fenwick Trees)

Formally, the Range Minimum Query Problem is:

Given an array A[0, N-1] , Find the position of the element with the minimum value between any two given indices.

Now, the standard solution is to use a segment tree and has been described here. Another data structure used to solve range queries is the Binary-Indexed Tree(Fenwick Tree), and it is much easier to understand code.

Can the range minimum query problem be solved by Binary-Indexed-Trees, and how? An implementation of the update and query function would be appreciated.