Open AccessWeighted statistical approximation properties of univariate and bivariate λ-Kantorovich operators
Author(s) -
Faruk Özger
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1911473o
Subject(s) - mathematics , univariate , bivariate analysis , rate of convergence , convergence (economics) , type (biology) , statistics , multivariate statistics , channel (broadcasting) , economic growth , electrical engineering , economics , engineering , ecology , biology
In this study, we consider statistical approximation properties of univariate and bivariate ?-Kantorovich operators. We estimate rate of weighted A-statistical convergence and prove a Voronovskajatype approximation theorem by a family of linear operators using the notion of weighted A-statistical convergence. We give some estimates for differences of ?-Bernstein and ?-Durrmeyer, and ?-Bernstein and ?-Kantorovich operators. We establish a Voronovskaja-type approximation theorem by weighted A-statistical convergence for the bivariate case.