Crystal Palace boss Roy Hodgson says Bournemouth deserved their win on Wednesday night.
Marcos Senesi and Keiffer Moore struck the goals for the visitors.
Hodgson later said: "I thought we lost to a better team on the night. I was disappointed, of course.
"I think the score line is a bit harsh. The second goal is one of those that is a nail in the coffin but we'd lost the game by that stage and these games are the really awkward ones for any team.
"We're not playing as well as we'd like at the moment. Our home form has not been good.
"We're playing against a team whose form is very good but, unfortunately, everyone thinks that that team is nowhere near as good as we are - and that's a false observation because they are as good as we are. Tonight I thought they were better than we are.
"I can't fault the players for effort. I thought we tried very hard, especially second half. We didn't concede many goal chances until they got the late one.
"All our efforts, all our work, all our toughing it out to keep us in the game didn't create enough goal chances and, as a result, the fans are unhappy because they came here expecting us to blow this tiny Bournemouth team away.
"But this tiny Bournemouth team turned out to be a very good one."