How can you compare the way that Byzantine and Islamic culture created and used art?

When comparing contemporaneous Byzantine and Islamic art, the differences can be striking. Byzantine art tends to have a clear religious function with its many stylized images of saints and prophets. The statues, paintings, mosaics, and icons of the Byzantine Empire are clearly meant to glorify Christianity while still preserving certain styles of the former Roman Empire. Many images, particularly icons, were meant to be used directly in a religious context as the receptacle of prayers.
By contrast, Islamic art generally shuns the depiction of people, religious figures, and even animals. Islamic belief contends that only Allah can create life, and therefore depictions of living creatures in art are infringing on Allah's sphere of creation. Furthermore, a strict iconoclastic stance in Islam would often forbid the association of figurative images as part of any religious rite. Islamic art tends to focus on geometric patterns, floral motifs, and calligraphy. This art served to adorn buildings, households, and religious objects but was never the focus of worship itself.
On face value, this puts Islamic art in stark contrast to Byzantine art. However, the two cultures did indeed greatly influence the artistic expressions of each other. When the Ottoman Turks captured the Byzantine capital of Constantinople in 1453, an interesting melding of artistic styles occurred. Domes and mosaics, previously associated with monumental Byzantine structures became the norm of large Islamic buildings. Unlike Byzantine art, the Islamic use of mosaics shied away from the depiction of figurative images. For their part, the Byzantines adopted certain geometric motifs from Islamic art into their own designs. So it easy to see the Byzantines and Islamic art using similar media and general architectural and design styles, but the subjects and overall motifs and use of their respected arts differed greatly.
https://design.tutsplus.com/articles/history-of-art-islamic-and-byzantine--cms-27622

https://www.metmuseum.org/toah/hd/bzis/hd_bzis.htm