Simultaneous approximation of the Riemann conformal map and its derivatives by Bieberbach polynomials

Daniyal M. ISRAFİLOV

Makale detayları

Simultaneous approximation of the Riemann conformal map and its derivatives by Bieberbach polynomials

Yazarlar:

Daniyal M. ISRAFİLOV

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 2, pp.209-216

Belge Tipi:

Makale

Yayın Tarihi:

3/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452298

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

Let GGG be a domain in the complex plane CC\mathbb{C} bounded by a rectifiable Jordan curve ΓΓ\Gamma, let z0∈Gz0∈Gz_0\in G and let φ0φ0\varphi_0 be the Riemann conformal map of GGG onto Dr:={w∈C:|w|<r}Dr:={w∈C:|w|<r}\mathbb{D}_r:=\{ w\in\mathbb{C}\,:\, |w|<r \}, normalized by φ0(z0)=0φ0(z0)=0\varphi_0(z_0)=0, φ′0(z0)=1φ0′(z0)=1\varphi_0'(z_0)=1. In this work the simultaneous approximations of φ0φ0\varphi_0 and its derivatives by Bieberbach polynomials are investigated. The approximation rate in dependence of the smoothness parameters of the considered domains is estimated. .

Makale detayları

Simultaneous approximation of the Riemann conformal map and its derivatives by Bieberbach polynomials

Yazarlar: Daniyal M. ISRAFİLOV

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 2, pp.209-216

Belge Tipi: Makale

Yayın Tarihi: 3/2017

Belge Dili: İngilizce

Document ID (Org No.): 2000452298

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Daniyal M. ISRAFİLOV

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 2, pp.209-216

Belge Tipi:

Makale

Yayın Tarihi:

3/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452298

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X