Kurumun Atıf Alan Makalesi
Atıf Alan Yayın
Construction of a new family of bernstein-kantorovich operators
Scopus
Toplam 185 atıf DOI
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.
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Atıf Yapan Yayın
Approximation by α-Bernstein-Kantorovich Type Operators for Functions of One and Two Variables
Scopus
Havuzumuzda 5 atıf almış
In this article, we propose a new sequence of α-Bernstein-Kantorovich type operators based on a parameter ζ, and to study approximation behavior of our operators, we establish local and global approximation theorems. Also, we introduce bivariate α-Bernstein-Kantorovich operators and estimate the Voronovskaya type asymptotic theorem and the order of approximation using Peetre’s (Formula presented.) -functional. Lastly, using Maple software, we show the convergence of our newly defined operators to a certain function by graph.
Atıf Yapan Makale Bilgileri
Kurumlar (2)
Central University of Haryana
Mahendergarh, India
Selçuk Üniversitesi
Selçuklu, Turkey