Is it rude to ask my opponent to resign an online game when they have a lost endgame? I really don't know if I am correct when I ask my opponent to resign when I am at a 1800-1900 ELO level. I have an Asperger disorder. To me ,endgames are more clear to play than middlegames, and the game loses interest when I think a newbie would win it. I sometimes ask my opponent to resign and play a rematch. Sometimes it has an effect, and they resign. At other times, I feel myself uncouth.

[fen "5k2/1p6/p3pP2/P1p1K2p/2P4P/8/5Bp1/8 w - - 0 1"]


Is it unfair to ask for a resignation in these kinds positions in an online chess game?
Is it rude to ask my opponent to resign an online game when they have
  a lost endgame?


Yes, it is rude, although you are in good company. In one Olympiad Victor Korchnoi is alleged to have asked his opponent - "Do you speak English?" When they said "Yes" he replied "Then please resign". I may be misquoting. He may not have said "please" :-)

Strictly speaking today what Korchnoi did is not allowed in over the board chess because it is disturbing the opponent. In online chess, however, trash talking is more acceptable because the opponent can always mute by switching off chat.