Parametric generalization of the modified  Bernstein-Kantorovich operators

Kadir Kanat; Melek Sofyalıoğlu; Selin Erdal

Makale detayları

Parametric generalization of the modified Bernstein-Kantorovich operators

Yazarlar:

Kadir Kanat | Melek Sofyalıoğlu | Selin Erdal

Yayıncı:

Ankara University

Ana Başlıklar:

Approximation Theory and Asymptotic Methods

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 2, pp.460-473

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318074

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 In the current article, a parametrization of the modified Bernstein-Kantorovich operators is studied. Then the Korovkin theorem, approximation properties and central moments of these operators are investigated. The rate of approximation of the operators is obtained by the help of modulus of continuity, functions from Lipschitz class and Peetre-mathcalK functional. Finally, some numerical examples are illustrated to show the effectiveness of the newly defined operators.

 In the current article, a parametrization of the modified Bernstein-Kantorovich operators is studied. Then the Korovkin theorem, approximation properties and central moments of these operators are investigated. The rate of approximation of the operators is obtained by the help of modulus of continuity, functions from Lipschitz class and Peetre-mathcalK functional. Finally, some numerical examples are illustrated to show the effectiveness of the newly defined operators.

 In the current article, a parametrization of the modified Bernstein-Kantorovich operators is studied. Then the Korovkin theorem, approximation properties and central moments of these operators are investigated. The rate of approximation of the operators is obtained by the help of modulus of continuity, functions from Lipschitz class and Peetre-mathcalK functional. Finally, some numerical examples are illustrated to show the effectiveness of the newly defined operators.

 In the current article, a parametrization of the modified Bernstein-Kantorovich operators is studied. Then the Korovkin theorem, approximation properties and central moments of these operators are investigated. The rate of approximation of the operators is obtained by the help of modulus of continuity, functions from Lipschitz class and Peetre-mathcalK functional. Finally, some numerical examples are illustrated to show the effectiveness of the newly defined operators.

Makale detayları

Parametric generalization of the modified Bernstein-Kantorovich operators

Yazarlar:

Kadir Kanat | Melek Sofyalıoğlu | Selin Erdal

Yayıncı:

Ankara University

Ana Başlıklar:

Approximation Theory and Asymptotic Methods

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 2, pp.460-473

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318074

pISSN:

1303-5991

Bernstein-Kantorovich operators

Peetre-K functional

modulus of continuity

Lipschitz class

Sayı

Makale detayları

Parametric generalization of the modified Bernstein-Kantorovich operators

Yazarlar: Kadir Kanat | Melek Sofyalıoğlu | Selin Erdal

Yayıncı: Ankara University

Ana Başlıklar: Approximation Theory and Asymptotic Methods

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 2, pp.460-473

Belge Tipi: Makale

Yayın Tarihi: 6/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001318074

pISSN: 1303-5991

Bernstein-Kantorovich operators

Peetre-K functional

modulus of continuity

Lipschitz class

Sayı

Yazarlar:

Kadir Kanat | Melek Sofyalıoğlu | Selin Erdal

Yayıncı:

Ankara University

Ana Başlıklar:

Approximation Theory and Asymptotic Methods

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 2, pp.460-473

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318074

pISSN:

1303-5991