RUJA: Repositorio Institucional de Producción Científica

 

Estimates in direct inequalities for the Szász–Mirakyan operator

Fecha

2022-12-16

Título de la revista

ISSN de la revista

Título del volumen

Editor

Springer

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.

Descripción

Palabras clave

Szász–Mirakyan operators, Ditzian–Totik modulus of smoothness, Direct inequalities, Steklov means

Citación

Adell, J.A., Cárdenas-Morales, D. Estimates in direct inequalities for the Szász–Mirakyan operator. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 43 (2023).

Colecciones