diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index bb2355df4b303..75320a28eb16b 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -2536,7 +2536,7 @@ def is_categorical(self) -> bool:
         Check if the Index holds categorical data.
 
         .. deprecated:: 2.0.0
-              Use :meth:`pandas.api.types.is_categorical_dtype` instead.
+              Use `isinstance(index.dtype, pd.CategoricalDtype)` instead.
 
         Returns
         -------
@@ -2589,7 +2589,7 @@ def is_interval(self) -> bool:
         Check if the Index holds Interval objects.
 
         .. deprecated:: 2.0.0
-            Use `pandas.api.types.is_interval_dtype` instead.
+            Use `isinstance(index.dtype, pd.IntervalDtype)` instead.
 
         Returns
         -------