On a Diophantine inequality with different powers of primes

Let lambda 1, lambda 2, lambda 3, lambda 4, lambda 5, lambda 6 be non-zero real numbers, not all negative. Assume that lambda lambda 12 is irrational and algebraic. Let V be a well-spaced sequence, and delta > 0. In this paper, we proved that, for any epsilon > 0, the number of upsilon is an element of V with 1 < upsilon < X such that the inequality |lambda 1p21+lambda 2p22+ lambda 3p33 + lambda 4p34 + lambda 5p45 + lambda 6p46 - upsilon| < upsilon-delta has no solution in primes p1,p2,p3,p4,p5,p6does not exceed O(X1- 1 8 +2 delta+epsilon).