118131 20240319080946.0 doi 10.1007/s00025-022-01680-x sideral 129529 ART-2022-129529 eng Adell, J.A. Universidad de Zaragoza (orcid)0000-0001-8331-5160 Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials 2022 Access copy available to the general public Unrestricted This 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. info:eu-repo/grantAgreement/ES/MCIU/PGC2018-097621-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.2 2022 MATHEMATICS, APPLIED 49 / 267 = 0.184 2022 Q1 T1 MATHEMATICS 27 / 329 = 0.082 2022 Q1 T1 0.556 2022 Mathematics (miscellaneous) 2022 Q2 Applied Mathematics 2022 Q2 1.8 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Cárdenas-Morales, D. 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 77, 4 (2022), 166 [13 pp.] Results in Mathematics Results in Mathematics 1422-6383 284902 http://zaguan.unizar.es/record/118131/files/texto_completo.pdf Versión publicada 1008664 http://zaguan.unizar.es/record/118131/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118131 articulos driver 2024-03-18-12:35:06 ARTICLE