If it is proved that in common view reciting from the hard copy of the Quran is regarded as different from reciting it on a digital screen, reciting a hard copy earns more reward but it does not seem that such a distinction is drawn out by custom. Hence, there should not be any difference among the recitations.
Index:
Answers given to the same question by Grand Religious Authorities are as under:[1]
Grand Ayatollah Khamenei (may Allah grant him long life):
It must be noted that looking the pages of the Quran has reward and if looking the computer screen is considered t be looking at the Quran in common view, there is not any difference, or else the former has more reward.
Grand Ayatollah Sistani (may Allah grant him long life):
To recite the Quran from a hard copy entails more reward.
Grand Ayatollah Makarem Shirazi (may Allah grant him long life):
There is not any difference between the two ways of reciting the Quran.
Grand Ayatollah Saafi Gulpaigani (may Allah grant him long life):
It has been narrated in a narration: (اقرئه و انظر فی المصحف)  "Recite it and look at the Book". Therefore, looking at the page of the Quran and reciting from it is better.
Ayatollah Mahdi Hadavi Tehrani (may Allah grant him long life):
There is no difference between the two ways; both of the two ways of reciting the Quran are considered recitation of the Quran.

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