2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128308We prove higher order asymptotic formulas for determinants and traces of finite block Toeplitz matrices generated by matrix functions belonging to generalized Hölder spaces with characteristic functions from the Bari-Stechkin class. We follow the approach of Böttcher and Silbermann and generalize their results for symbols in standard Hölder spaces.20 pagesFunctional AnalysisClassical Analysis and ODEs47B35; 15A15; 47B10; 47L20; 47A68text