
deluxe
Especially luxurious, elaborate, and of high quality. It describes a version that goes beyond the standard.
Wir haben uns für das Hotelzimmer in der Deluxe-Version entschieden.
We chose the hotel room in the deluxe version.
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Especially luxurious, elaborate, and of high quality. It describes a version that goes beyond the standard.
Wir haben uns für das Hotelzimmer in der Deluxe-Version entschieden.
We chose the hotel room in the deluxe version.
The adjective 'deluxe' is invariable and is not declined. It always keeps the same form, no matter which noun it comes before.
Wir buchten ein Deluxe-Zimmer mit Meerblick.
We booked a deluxe room with a sea view.
'Deluxe' comes from French ('de luxe') and literally means 'of luxury'. This origin explains why it is not declined as a foreign word in German.
Das Menü war wirklich deluxe.
The menu was truly deluxe.
When 'deluxe' comes before a noun, it is often treated like part of a compound word and connected with a hyphen.
Im Kino gibt es spezielle Deluxe-Sitze.
The cinema has special deluxe seats.
premium
Both words describe a version that is above the normal standard. Premium particularly emphasizes high quality, a higher price, or an exclusive product category, while deluxe points more strongly to luxury and elaborate features. Use premium for a quality or price category and deluxe for visible luxury.

Das Hotel bietet ein deluxe Zimmer mit besonders aufwendiger Ausstattung an.
The hotel offers a deluxe room with particularly elaborate amenities.
Dieses Smartphone ist premium und kostet wegen seiner hohen Qualität mehr.
This smartphone is premium and costs more because of its high quality.