Research Article

Uniform and Pointwise Polynomial Estimates in Regions with Interior and Exterior Cusps

Volume: 39 Number: 1 March 16, 2018
TR EN

İç ve Dış Sıfır Açılı Bölgelerde Polinom için Düzgün ve Noktasal Değerlendirmeler

Öz

Bu çalışmada, içte ve dışta sıfır açı olan parçalı Dini düzgün eğri ile sınırlı sonlu ve sonsuz bölgelerdeki cebirsel polinomlar için düzgün ve noktasal değerlendirmeler inceledik.

Anahtar Kelimeler

References

  1. [1] Abdullayev F.G., Andrievskii V.V. On the orthogonal polynomials in the domains with -quasiconformal boundary. Izv. Akad. Nauk Azerb. SSR., Ser. FTM 1983; 1: 3-7.
  2. [2] Abdullayev F. G., Özkartepe N. P., Gün C. D. Uniform and pointwise polynomial inequalities in regions without cusps in the weighted Lebesgue space. Bulletin of Tbilisi ICMC , 18-1 (2014) 146-167.
  3. [3] Abdullayev F.G., Özkartepe P. On the growth of algebraic polynomials in the whole complex plane. J. Korean Math. Soc., 52-4 (2015) 699-725.
  4. [4] Abdullayev F. G., Gün C.D., Ozkartepe N.P. Inequalities for algebraic polynomials in regions with exterior cusps. J. Nonlinear Funct. Anal., Article ID 3 (2015) 1-32.
  5. [5] Abdullayev F.G., Özkartepe P. Uniform and pointwise polynomial inequalities in regions with cusps in the weighted Lebesgue space. Jaen Journal on Approximation, 7-2 (2015) 231-261.
  6. [6] Abdullayev F.G., Özkartepe P., Polynomial inequalities in Lavrentiev regions with interior and exterior zero angles in the weighted Lebesgue space. Publications de l'Institut Mathématique (Beograd), 100-114 (2016) 209-227.
  7. [7] Ahlfors L. Lectures on Quasiconformal Mappings. Princeton, NJ: Van Nostrand, 1966.
  8. [8] Andrievskii V.V. On the uniform convergence of the Bieberbach polynomials in the regions with piecewise quasiconformal boundary, In: Theory of Mappings and approximation functions, "Naukovo Dumka", Kyiv, (1983) 3-18. (in Russian)

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

March 16, 2018

Submission Date

August 1, 2017

Acceptance Date

February 6, 2018

Published in Issue

Year 1970 Volume: 39 Number: 1

APA
Özkartepe, P. (2018). Uniform and Pointwise Polynomial Estimates in Regions with Interior and Exterior Cusps. Cumhuriyet Science Journal, 39(1), 47-65. https://doi.org/10.17776/csj.405512

Cited By

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