This is the 2762nd most frequent German word.
künstlerischen
"Artistic."
Here, 'künstlerischen' is an adjective that describes the quality of the 'Werke' (works) as related to art or artistic nature.
Die künstlerischen Werke in der Galerie sind sehr beeindruckend.
The artistic works in the gallery are very impressive.
In this sentence, 'künstlerischen' modifies 'Fähigkeiten' (skills), emphasizing these skills as pertaining to art or creative expression.
Seine künstlerischen Fähigkeiten sind außergewöhnlich.
His artistic skills are extraordinary.
'Künstlerischen' here qualifies 'Darstellungsweise' (mode of representation), indicating that the representation has artful or creative attributes.