A basic problem of [Formula: see text] -Bernstein-type operators

In this note, we give an elaboration of a basic problem on convergence theorem of [Formula: see text] -analogue of Bernstein-type operators. By some classical analysis techniques, we derive an exact class of [Formula: see text] -integer satisfying [Formula: see text] with [Formula: see text] and [Fo...

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Detalles Bibliográficos
Autores principales: Cai, Qing-Bo, Xu, Xiao-Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487941/
https://www.ncbi.nlm.nih.gov/pubmed/28680243
http://dx.doi.org/10.1186/s13660-017-1413-0
Descripción
Sumario:In this note, we give an elaboration of a basic problem on convergence theorem of [Formula: see text] -analogue of Bernstein-type operators. By some classical analysis techniques, we derive an exact class of [Formula: see text] -integer satisfying [Formula: see text] with [Formula: see text] and [Formula: see text] under [Formula: see text] . Our results provide an erratum to corresponding results on [Formula: see text] -analogue of Bernstein-type operators that appeared in recent literature.

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