A GENERALIZATION OF THE PEANO KERNEL AND ITS APPLICATIONS

Gülter BUDAKÇI; Halil ORUÇ

Makale detayları

A GENERALIZATION OF THE PEANO KERNEL AND ITS APPLICATIONS

Yazarlar:

Gülter BUDAKÇI | Halil ORUÇ

Yayıncı:

Ankara University

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2018 Vol.67 Issue 2, pp.229-241

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000909608

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

Özet:

 

Based on the q-Taylor Theorem, we introduce a more general form of the Peano kernel (q-Peano) which is also applicable to non-differentiable functions. Then we show that quantum B-splines are the q-Peano kernels of divided differences. We also give applications to polynomial interpolation and construct examples in which classical remainder theory fails whereas q-Peano kernel works.

Makale detayları

A GENERALIZATION OF THE PEANO KERNEL AND ITS APPLICATIONS

Yazarlar: Gülter BUDAKÇI | Halil ORUÇ

Yayıncı: Ankara University

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2018 Vol.67 Issue 2, pp.229-241

Belge Tipi: Makale

Yayın Tarihi: 7/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000909608

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

Sayı

Yazarlar:

Gülter BUDAKÇI | Halil ORUÇ

Yayıncı:

Ankara University

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2018 Vol.67 Issue 2, pp.229-241

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000909608

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991