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Construction of a new family of Bernstein‐Kantorovich operators
Author(s) -
Mohiuddine S. A.,
Acar Tuncer,
Alotaibi Abdullah
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4559
Subject(s) - mathematics , bivariate analysis , modulus of continuity , generalization , convergence (economics) , sequence (biology) , rate of convergence , bernstein polynomial , operator theory , baskakov operator , order (exchange) , construct (python library) , pure mathematics , algebra over a field , mathematical analysis , microlocal analysis , fourier integral operator , type (biology) , statistics , channel (broadcasting) , economic growth , ecology , computer science , engineering , genetics , biology , programming language , finance , electrical engineering , economics
In the present paper, we construct a new sequence of Bernstein‐Kantorovich operators depending on a parameter α . The uniform convergence of the operators and rate of convergence in local and global sense in terms of first‐ and second‐order modulus of continuity are studied. Some graphs and numerical results presenting the advantages of our construction are obtained. The last section is devoted to bivariate generalization of Bernstein‐Kantorovich operators and their approximation behaviors.