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For the books we know that according to GRRM, Arthur Dayne with Dawn > Barristan Selmy = Arthur DayneIn the show it's the opposite: Arthur > Prime Barristan > Old Barristan > Jaime
According to Daenerys, despite his age Barristan has not lost his skill with weapons: "Barristan Selmy remained behind. His hair was white, and there were crow's-feet at the corners of his pale blue eyes. Yet his back was still unbent, and the years had not yet robbed him of his skill at arms"
GRRM has already said in an interview that Jaime was the greatest swordsman in Westeros at the beginning of the books (27:26). Brienne said that no knight can beat Jaime with both hands, and Barristan said that Jaime was the best natural swordsman he had seen .
Without forgetting this statement where he says that he could beat Arthur Dayne despite the fact that he is stronger than him physically.Yeah, and we never got this gem of a statement on the show, unfortunately
So yeah in the books he should be better than Arthur and Barristan in terms of skill. And even if we say that Young Barristan > Old Barristan in terms of pure skill (which is not necessarily true), Jaime would still be comparable to Young Barristan in skill