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Power series and positive linear operators in weighted spaces

Abstract

A general family of positive linear operators associated with a power expansion is studied. Sufficient conditions are provided to verify that the sequence of operators are an approximation process in weighted spaces with polynomial weights. Examples of applications are included.

2020 Mathematics Subject Classification:

41A36, 41A81

Keywords

Positive linear operators, power series, Qualitative theorems

Full text

Author Details

Jorge Bustamante

Benemérita Universidad Autónoma de Puebla
Facultad de Ciencias Físico-Matemáticas
Avenida San Claudio y 18 Sur, Colonia San Manuel
Edificio FM1-101B, Ciudad Universitaria
C.P. 72570, Puebla, México
e-mail: jbusta@fcfm.buap.mx

José D. Torres-Campos

Benemérita Universidad Autónoma de Puebla
Facultad de Ciencias Físico-Matemáticas
Avenida San Claudio y 18 Sur, Colonia San Manuel
Edificio FM1-101B, Ciudad Universitaria
C.P. 72570, Puebla, México
e-mail: datoca1812@gmail.com


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