To make sure you are receiving notifications for new emails, try the following steps:

1. Open your synchronization settings and ensure that the email notifications are set to ‘On’
2. Check the Notification settings in the app for the specific email service, and adjust the settings to the desired parameters
3. Finally, force the app to sync any new changes by manually selecting the sync option in the settings menu

By following these steps, you should be able to check any new email notifications on your device.