Has nobody clicked the "More about the League System" link on the League page in the client? It explains why this happens right there.
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Originally Posted by LoL Client
How many League Points will I gain from a win?
There are numerous factors, but these are the two major ones: - The difficulty of the match: if matchmaking considered your opponents to be favored, you'll gain more League Points than normal if you pull off the upset. The opposite is also true.
- The relative Matchmaking Ratings (MMRs) of the other players in your game: if the other competitors are generally higher in the standings than you, you'll gain more LP (and lose less from a loss), so that you'll general trend upwards even with a 50/50 record.
Since your MMR determines the number of LP you're awarded from a game, players who intentionally tank their ratings after reaching a new tier will find they progress toward the next division VERY slowly. Essentially, they'll have to make back the MMR points they intentionally dumped in order to make meaningful progress toward the next tier or division. There's a lot of complicated logic on the back end to prevent this sort of abuse, so it's always more effective to play legitimately.
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Originally Posted by LoL Client
Why do I sometimes earn fewer League Points per win when I'm close to reaching the next tier?
Since tier upgrades are permanent in the League System, you have to demonstrate you can maintain a higher level of play before the system will allow you to start a Promotion Series. In rare instances, this means that your LP earnings will be normalized until you meet this bar, so you may need to win a few more matches to trigger your Promotion Series. This is more likely to occur if you're closing in on a spot in the Challenger tier, since you have to outperform a current member of that tier to be promoted.
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With this information, I think it's safest to say that in many of these situations, the system just doesn't think you are ready to be promoted due to your hidden MMR being lower relative to people in your current division and the next division, so it's making you prove yourself.
As a note: Hidden MMR = Elo. They are effectively identical as far as the average player is concerned. This system is really just the old system with a promotion-based ladder system pasted over it.