diff --git a/PIL/Image.py b/PIL/Image.py
index 861599bf7..be00132b2 100644
--- a/PIL/Image.py
+++ b/PIL/Image.py
@@ -681,19 +681,6 @@ class Image(object):
 
         return b"".join(data)
 
-    # Declare tostring as alias to tobytes
-    def tostring(self, *args, **kw):
-        """Deprecated alias to tobytes.
-
-        .. deprecated:: 2.0
-        """
-        warnings.warn(
-            'tostring() is deprecated. Please call tobytes() instead.',
-            DeprecationWarning,
-            stacklevel=2,
-        )
-        return self.tobytes(*args, **kw)
-
     def tobitmap(self, name="image"):
         """
         Returns the image converted to an X11 bitmap.
@@ -741,16 +728,6 @@ class Image(object):
         if s[1] != 0:
             raise ValueError("cannot decode image data")
 
-    def fromstring(self, *args, **kw):
-        """Deprecated alias to frombytes.
-
-        .. deprecated:: 2.0
-        """
-        warnings.warn(
-            'fromstring() is deprecated. Please call frombytes() instead.',
-            DeprecationWarning)
-        return self.frombytes(*args, **kw)
-
     def load(self):
         """
         Allocates storage for the image and loads the pixel data.  In
@@ -1247,29 +1224,6 @@ class Image(object):
             return self.im.histogram(extrema)
         return self.im.histogram()
 
-    def offset(self, xoffset, yoffset=None):
-        """
-        .. deprecated:: 2.0
-
-        .. note:: New code should use :py:func:`PIL.ImageChops.offset`.
-
-        Returns a copy of the image where the data has been offset by the given
-        distances. Data wraps around the edges. If **yoffset** is omitted, it
-        is assumed to be equal to **xoffset**.
-
-        :param xoffset: The horizontal distance.
-        :param yoffset: The vertical distance.  If omitted, both
-           distances are set to the same value.
-        :returns: An :py:class:`~PIL.Image.Image` object.
-        """
-        if warnings:
-            warnings.warn(
-                "'offset' is deprecated; use 'ImageChops.offset' instead",
-                DeprecationWarning, stacklevel=2
-                )
-        from PIL import ImageChops
-        return ImageChops.offset(self, xoffset, yoffset)
-
     def paste(self, im, box=None, mask=None):
         """
         Pastes another image into this image. The box argument is either
@@ -2080,19 +2034,6 @@ def frombytes(mode, size, data, decoder_name="raw", *args):
     return im
 
 
-def fromstring(*args, **kw):
-    """Deprecated alias to frombytes.
-
-    .. deprecated:: 2.0
-    """
-    warnings.warn(
-        'fromstring() is deprecated. Please call frombytes() instead.',
-        DeprecationWarning,
-        stacklevel=2
-    )
-    return frombytes(*args, **kw)
-
-
 def frombuffer(mode, size, data, decoder_name="raw", *args):
     """
     Creates an image memory referencing pixel data in a byte buffer.
diff --git a/PIL/ImageWin.py b/PIL/ImageWin.py
index bcb54bc3e..85b463afc 100644
--- a/PIL/ImageWin.py
+++ b/PIL/ImageWin.py
@@ -17,7 +17,6 @@
 # See the README file for information on usage and redistribution.
 #
 
-import warnings
 from PIL import Image
 
 
@@ -183,25 +182,6 @@ class Dib(object):
         """
         return self.image.tobytes()
 
-    ##
-    # Deprecated aliases to frombytes & tobytes.
-
-    def fromstring(self, *args, **kw):
-        warnings.warn(
-            'fromstring() is deprecated. Please call frombytes() instead.',
-            DeprecationWarning,
-            stacklevel=2
-        )
-        return self.frombytes(*args, **kw)
-
-    def tostring(self):
-        warnings.warn(
-            'tostring() is deprecated. Please call tobytes() instead.',
-            DeprecationWarning,
-            stacklevel=2
-        )
-        return self.tobytes()
-
 
 ##
 # Create a Window with the given title size.
diff --git a/Tests/test_image_offset.py b/Tests/test_image_offset.py
deleted file mode 100644
index e5fe0bf47..000000000
--- a/Tests/test_image_offset.py
+++ /dev/null
@@ -1,25 +0,0 @@
-from helper import unittest, PillowTestCase, hopper
-
-
-class TestImageOffset(PillowTestCase):
-
-    def test_offset(self):
-
-        im1 = hopper()
-
-        im2 = self.assert_warning(DeprecationWarning, lambda: im1.offset(10))
-        self.assertEqual(im1.getpixel((0, 0)), im2.getpixel((10, 10)))
-
-        im2 = self.assert_warning(
-            DeprecationWarning, lambda: im1.offset(10, 20))
-        self.assertEqual(im1.getpixel((0, 0)), im2.getpixel((10, 20)))
-
-        im2 = self.assert_warning(
-            DeprecationWarning, lambda: im1.offset(20, 20))
-        self.assertEqual(im1.getpixel((0, 0)), im2.getpixel((20, 20)))
-
-
-if __name__ == '__main__':
-    unittest.main()
-
-# End of file
diff --git a/Tests/test_imagewin.py b/Tests/test_imagewin.py
index 8a5bc125f..e719513d7 100644
--- a/Tests/test_imagewin.py
+++ b/Tests/test_imagewin.py
@@ -107,17 +107,6 @@ class TestImageWinDib(PillowTestCase):
         # Confirm they're the same
         self.assertEqual(dib1.tobytes(), dib2.tobytes())
 
-    def test_dib_fromstring_tostring_deprecated(self):
-        # Arrange
-        im = hopper()
-        dib = ImageWin.Dib(im)
-        test_buffer = dib.tobytes()
-
-        # Act/Assert
-        self.assert_warning(DeprecationWarning, dib.tostring)
-        self.assert_warning(DeprecationWarning,
-                            lambda: dib.fromstring(test_buffer))
-
 
 if __name__ == '__main__':
     unittest.main()