2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/43259An improved leading order fragmentation functions set of kaon is proposed based on the experimental data. We compare it with currently available sets, and use it to calculate high-$p_T$ $K/π$ ratios in relativistic proton-proton collisions. A prediction of $K/π$ ratios in relativistic nucleus-nucleus collisions ($d + Au$ and $Au + Au$) at RHIC $\sqrt{s} = 200$ GeV is given.4 pages, 3 figures, RevTex4;address is changedHigh Energy Physics - Phenomenologytext