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: 1, 3, ['c', '2957', 'u', '2321', 'q', 'P', '2347', 'O', 'P', '4463', 'u']
Example Output: 2957

Example Input: 2, 9, ['S', 't', '243', '5691', '5695', 'Y', 'd', '8695', 'M', 'K', 'z', 'I', '7325', '8945', 'P', 'Q', 'I', 'N']
Example Output: 20324

Example Input: 3, 7, ['3981', 'r', '437', 'Z', '7975', 'h', 'I', 'x', 'T', '5585', '939']
Example Output:
8412