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
Degree of Approximation for Bivariate Generalized Bernstein Type Operators
Scopus
Havuzumuzda 46 atıf almış
In this paper we study an extension of the bivariate generalized Bernstein operators based on a non-negative real parameters. For these operators we obtain the order of approximation using Peetre’s K-functional, a Voronovskaja type theorem and the degree of approximation by means of the Lipschitz class. Further, we consider the Generalized Boolean Sum operators of generalized Bernstein type and we study the degree of approximation in terms of the mixed modulus of continuity. Finally, we show the comparisons by some illustrative graphics in Maple for the convergence of the operators to certain functions.
Atıf Yapan Makale Bilgileri
Kurumlar (2)
Central University of Haryana
Mahendergarh, India
Selçuk Üniversitesi
Selçuklu, Turkey