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, 6, ['v', 'f', '5021', 'v', 'M', '6345', '1159', 'C', '8173', '6299', 'r', '8877', 'a', 'm', 'k', '2935']
Example Output: 6345

Example Input: 2, 3, ['9191', 'D', '1937', 'N', 'g', '3485', '7327']
Example Output: 1937

Example Input: 19, 19, ['2421', 'B', 'k', 'Q', 'm', '6093', '1691', '6245', '9429', 'Y', 's', '9067', 'b', '3935', '4381', 'k', '2439', '6429', 'B', '2335']
Example Output:
0