Construction of a new family of Bernstein-Kantorovich operators

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Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Wiley

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In the present paper, we construct a new sequence of Bernstein-Kantorovich operators depending on a parameter alpha. 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.

Açıklama

Acar, Tuncer/0000-0003-0982-9459; Mohiuddine, S. A./0000-0002-9050-9104; Alotaibi, Abdullah/0000-0001-7780-8137

Anahtar Kelimeler

Bernstein-Kantorovich operators, bivariate Bernstein-Kantorovich operators, modulus of continuity, rate of convergence

Kaynak

Mathematical Methods In The Applied Sciences

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

40

Sayı

18

Künye

closedAccess