In 1958, Szüsz proved an inhomogeneous version of Khintchine's theorem on Diophantine approximation. Szüsz's states that for any non-increasing approximation function ψ:N→(0,1/2) with ∑qψ(q)=∞ and number γ, the following setW(ψ,γ)={x∈[0,1]:|qx−p−γ|<ψ(q) infinitely many q,p∈N} has full Lebesgue measure. Since then, there are very few results in relaxing monotonicity condition. this paper, we sho...