Maybe not ENTIRELY helpful, but I got this with Google translate:
I can confirm:
Chaliapin:
https://en.m.wikipedia.org/wiki/Feodor_Chaliapin
(there are recordings for him on YouTube!)
Bunin:
https://en.m.wikipedia.org/wiki/Ivan_Bunin
The Wiki for Bunin seems to have another photo from the same set:
Identified as members of the writers group "Sreda", 1902.
L. Andreev:
https://en.m.wikipedia.org/wiki/Leonid_Andreyev
(looks more like the guy above him though)
Pyatnitsky:
https://en.m.wikipedia.org/wiki/Mitrofan_Pyatnitsky
~~The last name Google Translate did not pick up is Чирико which translates as Chirico. The photo doesn't line up for this guy, but the era and group of people would:~~
~~https://en.m.wikipedia.org/wiki/Giorgio_de_Chirico~~
Sergigig found a much more likely candidate based on the photo:
https://en.m.wikipedia.org/wiki/Evgeny_Chirikov
Скиталецъ or "Wanderer" was his pen name. Stepan Gavrilovich Petrov.
https://en.m.wikipedia.org/wiki/Stepan_Skitalets
Has the same photo as the Bunin wiki.
~~I can't get anything on "Telesheg" or "Teleshev" or the one that translates out as "Found".~~
Edit from Sprink's comment below, "Found", or Найдёнов, is Naydyonov, the pen name of Sergey Alexandrovich Alexeyev:
https://en.m.wikipedia.org/wiki/Sergey_Naydyonov
Sergigig also found Teleshov:
https://en.m.wikipedia.org/wiki/Nikolai_Teleshov
I think that's everyone now?
More on the literary group Sreda with a membership list(!)
https://en.m.wikipedia.org/wiki/Sreda
Alternate photos: