Checking your Apple AppStore purchased from safari is an easy way of checking if you have previously purchased an app but do not have that device signed into the AppStore. Reasons you may want to do this is you may have gotten a phishing email saying you purchased an app but want to confirm if it’s real or fake.
To See recent purchases on any device Go to reportaproblem.apple.com. Sign in with your Apple ID and password. From here, you can find if the app has been purchased or not.