2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199902Using general construction of star-product the q-deformed Wigner-Weyl-Moyal quantization procedure is elaborated. The q-deformed Groenewold kernel determining the product of quantum observables is given in explicit form for small nonlinearities corresponding to nonlinear vibrations of classical and quantum q-oscillators. The deformations of Groenewold kernel related to general kinds of nonlinear vibrations described by f-oscillators are considered.11 pages - to be submitted to Physics Letters AQuantum Physicstext