In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

Example Input: 4, 4, ['Y', 'X', 'r', '439', 'D', 'H', '1903']
Example Output: 439

Example Input: 3, 5, ['6621', 'A', '3201', '9737', '7957', 'v', 'x', 'q', 'b', 'X', 'v', 'B', 'h', '3985', 'M', '3037', 'V']
Example Output: 20895

Example Input: 1, 6, ['X', 'V', '995', 'v', '4587', '5971', '9471', '7037', '1687', 'r']
Example Output:
11553