Being bounced by a superior turning ability plane from a superior E position is a dificult scenario to win. The tactic you use is dependent on your perceived advantages in performance over theirs (assuming different plane types).
Normally a better turner is generally slower in top speed and or has less performance at higher alts. These should be the basis for you to expliot. how?
use your speed advantage to 'tire' the enemy out, make him waste his E by chasing you, then once the E is eqaul, or better still in your advantage, turn the tables into an E fight. This will only work if you are very mindfull of your speed, you must stay very fast or he will serve your bellybutton back to you. Secondly this takes alot of patience - dont let him sucker you in.
secondly altitude can be your friend here too. the P47 shines very brightly at high alts, and not as well down low. So try maintain your alt (not at the cost of effective manuevering speed tho). Above 20k the p47 should be a good match for the la7, and 25K + you will eat it for breakfast. Again lots of speed helps maneuvering up high.
p47 has great guns and is tuff, so if your in a bad position a HO aint always a bad option.
lastly try use their excess speed against them. this entales you allowing them to bounce you from the rear qaurter, and barrel-rolling to force them to overshoot, from there if you havent scrubbed too much speed off, you can either follow them up as they try to escape (only if they have tried and turned hard to stay with you - ie they've lost a good amount of E), or tag em as the go past. Be wary of cannon armed planes with hi ROF - like the hispano, one ping can really ruin your day. This tactic may not work first time, but can work wonders.
Another tip, try to keep in mind where you are in relation to your friends/wingman/bases/acks/carriers etc. try not to stray to far from home, always have a contingency escape plan, where posible.
hope something here helps.