This problem requires to maintain a window of size k of the previous values that can be queried for value ranges. The best data structure to do that is Binary Search Tree. As a result maintaining the tree of size k will result in time complexity O(N lg K). In order to check if there exists any value of range abs(nums[i] - nums[j]) to simple queries can be executed both of time complexity O(lg K)

Here is the whole solution using TreeMap.

```
public class Solution {
public boolean containsNearbyAlmostDuplicate(int[] nums, int k, int t) {
if (nums == null || nums.length == 0 || k <= 0) {
return false;
}
final TreeSet<Integer> values = new TreeSet<>();
for (int ind = 0; ind < nums.length; ind++) {
final Integer floor = values.floor(nums[ind] + t);
final Integer ceil = values.ceiling(nums[ind] - t);
if ((floor != null && floor >= nums[ind])
|| (ceil != null && ceil <= nums[ind])) {
return true;
}
values.add(nums[ind]);
if (ind >= k) {
values.remove(nums[ind - k]);
}
}
return false;
}
}
```