Adell, José A.Cárdenas-Morales, Daniel2024-01-312024-01-312022-06-29Adell, J.A., Cárdenas-Morales, D. Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials. Results Math 77, 166 (2022).1420-9012 (Electronic) 1422-6383 (Print)10.1007/s00025-022-01680-xhttps://hdl.handle.net/10953/1883This 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Bernstein polynomialsDitzian–Totik modulus of smoothnessSteklov meansBinomial random variableinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess