You can configure the Application Center client so that push notifications are sent to users when an update is available for an application in the store.
The Application Center administrator uses push notifications to send notification automatically, to any iOS or Android device. Notifications are sent for updates to favorite applications and of new applications that are deployed on the Application Center server and that are marked as recommended.
The first time that the Application Center client starts on a device, the user might be asked whether to accept incoming push notifications. This is the case for iOS mobile devices. The push notification feature does not work when the service is disabled on the mobile device.
iOS and modern Android operating system versions offer a way to switch this service on or off on a per application basis.
Refer to your device vendor to learn how to configure your mobile device for push notifications.