if self.objects:
    for i in self.objects:
        ob = [self.scn.objects[i]]
        bpy.ops.object.delete({"selected_objects": ob})
        self.objects = []

import bpy
object_to_delete = bpy.data.objects['object_name_to_delete']
bpy.data.objects.remove(object_to_delete, do_unlink=True)