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One other thing to look at is your city's anti-noise ordinances. Some cities -- not most, but some -- have pretty tough laws dealing with residential noise. You can make complaints to the city, and they can stick. If the building management won't help, see if the city has ordinances or community complaint/mediation board that you can go to.
In answer to your original question: both of you should meet each other halfway. You should be tolerant, and they should be considerate. Probably a perfect solution isn't possible, but when both sides really try usually a "good enough" solution is agreed upon. Unfortunately, your neighbors don't seem to want to try.
As for "nobody's ever complained before," that may be true. Some people never work up the guts, and move rather than challenge things. Others play loud music and don't care, or are hard of hearing. But that's no excuse. What they're saying is, "you have no right to complain," and that's not true. That's what they _want_ to be true.
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