Estimates in direct inequalities for the Szász–Mirakyan operator

Adell, José A. (Universidad de Zaragoza) ; Cárdenas Morales, Daniel

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s13398-022-01379-2

Año: 2023

Publicado en: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 117 (2023), 43 [12 pp]
ISSN: 1578-7303

Factor impacto JCR: 1.8 (2023)

Categ. JCR: MATHEMATICS rank: 39 / 490 = 0.08 (2023) - Q1 - T1

Factor impacto CITESCORE: 4.7 - Applied Mathematics (Q1) - Computational Mathematics (Q1) - Analysis (Q1) - Geometry and Topology (Q1) - Algebra and Number Theory (Q1)

Factor impacto SCIMAGO: 0.906 - Algebra and Number Theory (Q1) - Analysis (Q1) - Geometry and Topology (Q1) - Applied Mathematics (Q1) - Computational 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)