Araştırma Makalesi
Yıl 2012,
Cilt: 33 Sayı: 2, 32 - 45, 21.02.2013
Öz
In this present work, we continue studying the estimation of Bernstein-Walsh
type for algebraic polynomials in the regions with quasiconformal boundary.
Anahtar Kelimeler
Algebraic polynomials conformal mapping quasiconformal mapping quasiconformal curve
Kaynakça
- Abdullayev F.G., Dissertation (Ph.D.), Donetsk, 1986, 120 p.
- Abdullayev F.G., Uniform Convergence of Generalized Bieberbach Polynomials in Re- gions with non-zero angles, Acta Mathematica Hungarica, 1997, 77, 3, 223-246.
- Abdullayev F.G., On the some properties of the orthogonal polynomials over the region of the complex plane (Part III), Ukr.Math.J., 2001, Vol.53, No:12, pp.1934-1948.
- Abdullayev F.G., The properties of the orthogonal polynomials with weight having singulerity on the boundary contour, J. of Comp. Anal. and Appl. , 2004, Vol.6, No: 1, pp. 43-59.
- Ahlfors L.V., Lectures on Quasiconformal Mappings, Van Nostrand (Prinston, NJ, 1966).
- Andrievskii V.V., Constructive characterization of the harmonic functions in domains with quasiconformal boundary, In: Quasiconformal continuation and Approximation by function in the set of the complex plane. Kiev, 1985 [in Russian]
- Andrievskii V.V., Belyi V.I.& Dzyadyk V.K, Conformal invariants in constructive theory of functions of complex plane. Atlanta:World Federation Publ.Com., 1995.
- Lehto O., Virtanen K.I., Quasiconformal Mapping in the Plane, Springer Verlag, Berlin, 1973.
- Rickman S., Characterisation of quasiconformal arcs, Ann. Acad. Sci. Fenn., Ser. A, Mathematica., 1966, 395 , 30 p.
- Stylianopoulos N., Fine asymptotics for Bergman orthogonal polynomials over do- mains with corners, CMFT 2009, Ankara, June 2009.
- Hille E., Szeg¨o G., Tamarkin J.D., On some generalization of a theorem of A.Markoff , Duke Math., 1937, 3, p. 729-739.
- Walsh J.L., Interpolation and Approximation by Rational Functions in the Complex Domain, AMS,1960.
Yıl 2012,
Cilt: 33 Sayı: 2, 32 - 45, 21.02.2013
Öz
Kaynakça
- Abdullayev F.G., Dissertation (Ph.D.), Donetsk, 1986, 120 p.
- Abdullayev F.G., Uniform Convergence of Generalized Bieberbach Polynomials in Re- gions with non-zero angles, Acta Mathematica Hungarica, 1997, 77, 3, 223-246.
- Abdullayev F.G., On the some properties of the orthogonal polynomials over the region of the complex plane (Part III), Ukr.Math.J., 2001, Vol.53, No:12, pp.1934-1948.
- Abdullayev F.G., The properties of the orthogonal polynomials with weight having singulerity on the boundary contour, J. of Comp. Anal. and Appl. , 2004, Vol.6, No: 1, pp. 43-59.
- Ahlfors L.V., Lectures on Quasiconformal Mappings, Van Nostrand (Prinston, NJ, 1966).
- Andrievskii V.V., Constructive characterization of the harmonic functions in domains with quasiconformal boundary, In: Quasiconformal continuation and Approximation by function in the set of the complex plane. Kiev, 1985 [in Russian]
- Andrievskii V.V., Belyi V.I.& Dzyadyk V.K, Conformal invariants in constructive theory of functions of complex plane. Atlanta:World Federation Publ.Com., 1995.
- Lehto O., Virtanen K.I., Quasiconformal Mapping in the Plane, Springer Verlag, Berlin, 1973.
- Rickman S., Characterisation of quasiconformal arcs, Ann. Acad. Sci. Fenn., Ser. A, Mathematica., 1966, 395 , 30 p.
- Stylianopoulos N., Fine asymptotics for Bergman orthogonal polynomials over do- mains with corners, CMFT 2009, Ankara, June 2009.
- Hille E., Szeg¨o G., Tamarkin J.D., On some generalization of a theorem of A.Markoff , Duke Math., 1937, 3, p. 729-739.
- Walsh J.L., Interpolation and Approximation by Rational Functions in the Complex Domain, AMS,1960.
Toplam 12 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Editöriyal |
| Yazarlar | |
| Yayımlanma Tarihi | 21 Şubat 2013 |
| Yayımlandığı Sayı | Yıl 2012 Cilt: 33 Sayı: 2 |