Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials
Resumen: 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.
Idioma: Inglés
DOI: 10.1007/s00025-022-01680-x
Año: 2022
Publicado en: Results in Mathematics 77, 4 (2022), 166 [13 pp.]
ISSN: 1422-6383

Factor impacto JCR: 2.2 (2022)
Categ. JCR: MATHEMATICS, APPLIED rank: 49 / 267 = 0.184 (2022) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 27 / 329 = 0.082 (2022) - Q1 - T1

Factor impacto CITESCORE: 1.8 - Mathematics (Q3)

Factor impacto SCIMAGO: 0.556 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MCIU/PGC2018-097621-B-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)

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Articles > Artículos por área > Estadística e Investigación Operativa



 Record created 2022-09-08, last modified 2024-03-19


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