Ce type de notification est obsolète comme on le voit dans les documents:
@java.lang.Deprecated
public Notification(int icon, java.lang.CharSequence tickerText, long when) { /* compiled code */ }
public Notification(android.os.Parcel parcel) { /* compiled code */ }
@java.lang.Deprecated
public void setLatestEventInfo(android.content.Context context, java.lang.CharSequence contentTitle, java.lang.CharSequence contentText, android.app.PendingIntent contentIntent) { /* compiled code */ }
Meilleure façon
 
Vous pouvez envoyer une notification comme celle-ci:
// prepare intent which is triggered if the
// notification is selected
Intent intent = new Intent(this, NotificationReceiver.class);
PendingIntent pIntent = PendingIntent.getActivity(this, 0, intent, 0);
// build notification
// the addAction re-use the same intent to keep the example short
Notification n  = new Notification.Builder(this)
        .setContentTitle("New mail from " + "test@gmail.com")
        .setContentText("Subject")
        .setSmallIcon(R.drawable.icon)
        .setContentIntent(pIntent)
        .setAutoCancel(true)
        .addAction(R.drawable.icon, "Call", pIntent)
        .addAction(R.drawable.icon, "More", pIntent)
        .addAction(R.drawable.icon, "And more", pIntent).build();
NotificationManager notificationManager = 
  (NotificationManager) getSystemService(NOTIFICATION_SERVICE);
notificationManager.notify(0, n); 
Meilleur moyen Le
 
code ci-dessus nécessite un niveau d'API minimum 11 (Android 3.0). 
Si votre niveau d'API minimum est inférieur à 11, vous devez utiliser la classe NotificationCompat de la bibliothèque de support comme ceci.   
Donc, si votre niveau d'API cible minimum est 4+ (Android 1.6+), utilisez ceci:
    import android.support.v4.app.NotificationCompat;
    -------------
    NotificationCompat.Builder builder =
            new NotificationCompat.Builder(this)
                    .setSmallIcon(R.drawable.mylogo)
                    .setContentTitle("My Notification Title")
                    .setContentText("Something interesting happened");
    int NOTIFICATION_ID = 12345;
    Intent targetIntent = new Intent(this, MyFavoriteActivity.class);
    PendingIntent contentIntent = PendingIntent.getActivity(this, 0, targetIntent, PendingIntent.FLAG_UPDATE_CURRENT);
    builder.setContentIntent(contentIntent);
    NotificationManager nManager = (NotificationManager) getSystemService(Context.NOTIFICATION_SERVICE);
    nManager.notify(NOTIFICATION_ID, builder.build());