Open AccessApproximation properties of the new type generalized Bernstein-Kantorovich operators
Author(s) -
Mustafa Kara,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022212
Subject(s) - modulus of continuity , mathematics , type (biology) , lipschitz continuity , bivariate analysis , rate of convergence , baskakov operator , convergence (economics) , order (exchange) , bernstein polynomial , operator theory , pure mathematics , mathematical analysis , microlocal analysis , fourier integral operator , computer science , statistics , ecology , computer network , channel (broadcasting) , finance , economic growth , economics , biology
In this paper, we introduce new type of generalized Kantorovich variant of $ \alpha $-Bernstein operators and study their approximation properties. We obtain estimates of rate of convergence involving first and second order modulus of continuity and Lipschitz function are studied for these operators. Furthermore, we establish Voronovskaya type theorem of these operators. The last section is devoted to bivariate new type $ \alpha $-Bernstein-Kantorovich operators and their approximation behaviors. Also, some graphical illustrations and numerical results are provided.