124042 20241125101130.0 doi 10.1007/s13398-022-01379-2 sideral 132605 ART-2023-132605 eng Adell, José A. Universidad de Zaragoza (orcid)0000-0001-8331-5160 Estimates in direct inequalities for the Szász–Mirakyan operator 2023 Access copy available to the general public Unrestricted This paper deals with the approximation of continuous functions by the classical Szász–Mirakyan operator. We give new bounds for the constant in front of the second order Ditzian–Totik modulus of smoothness in direct inequalities. Asymptotic and non asymptotic results are stated. We use both analytical and probabilistic methods, the latter involving the representation of the operators in terms of the standard Poisson process. A smoothing technique based on a modification of the Steklov means is also applied. info:eu-repo/grantAgreement/ES/MCIU/PGC2018-097621-B-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.8 2023 MATHEMATICS 39 / 490 = 0.08 2023 Q1 T1 0.906 2023 Algebra and Number Theory 2023 Q1 Analysis 2023 Q1 Geometry and Topology 2023 Q1 Applied Mathematics 2023 Q1 Computational Mathematics 2023 Q2 4.7 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Cárdenas Morales, Daniel 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 117 (2023), 43 [12 pp] Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 1578-7303 287634 http://zaguan.unizar.es/record/124042/files/texto_completo.pdf Versión publicada 1042762 http://zaguan.unizar.es/record/124042/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:124042 articulos driver 2024-11-22-11:58:43 ARTICLE