doi:10.1007/s00025-022-01680-xengAdell, J.A.Cárdenas-Morales, D.Asymptotic and Non-asymptotic Results in the Approximation by Bernstein PolynomialsART-2022-129529This paper deals with the approximation of functions by the classical Bernstein polynomials in terms of the Ditzian–Totik modulus of smoothness. Asymptotic and non-asymptotic results are respectively stated for continuous and twice continuously differentiable functions. By using a probabilistic approach, known results are either completed or strengthened.2022http://zaguan.unizar.es/record/11813110.1007/s00025-022-01680-xhttp://zaguan.unizar.es/record/118131oai:zaguan.unizar.es:118131info:eu-repo/grantAgreement/ES/MCIU/PGC2018-097621-B-I00Results in Mathematics 77, 4 (2022), 166 [13 pp.]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess