Baskakov operators and Jacobi weights: pointwise estimates

Journal of inequalities and applications

José María Quesada¹  Jorge Bustamante²  Juan Jesús Merino-García³ 

[1] Department of Mathematics, University of Jaén, Jaén, Spain;Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, México;IES. Juan Ramón Jiménez. Moguer, Huelva, Spain;

关键词: Baskakov operators;    Direct estimates;    Jacobi weights;    K-functionals;   

DOI  :  10.1186/s13660-021-02653-4

来源: Springer

【 摘 要 】

In this paper we present direct results (upper estimates) for Baskakov operators acting in spaces related with Jacobi-type weights. Our results include and extend some known facts related with this problem. The approach is based in the use of a new pointwise K-functional.

【 授权许可】

CC BY