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.
1, 10, ['h', '1279', '7797', 'C', '6493', 'J', 'n', 'z', 'c', '4773', 'I', 'B', 'y', '2843', '1759', '591']