Journals / Manas Journal of Engineering / 2018 / Cilt: 6 - Sayı: 1

Uniform And Pointwise Polynomial Inequalities In Regions With Asymptotically Conformal Curve

Asimptotik konform eğri ile sınırlı bölgelerde düzgün ve noktasal polinom eşitsizlikleri

Pages
26–45
Publication Date
2018-05-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this we continue studying the Nikolskii and Bernstein-Walsh type polynomial estimation in the Lebesgue spaces in the bounded and unbounded regions bounded by asymptotically conformal curve

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this we continue studying the Nikolskii and Bernstein-Walsh type polynomial estimation in the Lebesgue spaces in the bounded and unbounded regions bounded by asymptotically conformal curve
📊
Key Findings & Data:In this we continue studying the Nikolskii and Bernstein-Walsh type polynomial estimation in the Lebesgue spaces in the bounded and unbounded regions bounded by asymptotically conformal curve
💡
Conclusion & Impact:In this we continue studying the Nikolskii and Bernstein-Walsh type polynomial estimation in the Lebesgue spaces in the bounded and unbounded regions bounded by asymptotically conformal curve
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Polinomlar · Nikolskii eşitsizliği · Bernstein eşitsizliği

Abstract

In this we continue studying the Nikolskii and Bernstein-Walsh type polynomial estimation in the Lebesgue spaces in the bounded and unbounded regions bounded by asymptotically conformal curve

Özet

Bu çalışmada, asimptotik konform eğri ile sınırlı sonlu ve sonsuz bölgelerde Nikolskii ve Bernstein tipinde polinom eşitsizliklerini Lebesgue uzaylarında incelemeği devam ediyoruz

🔖

Cite This Article

ÖZKARTEPE, P. (2018). Uniform And Pointwise Polynomial Inequalities In Regions With Asymptotically Conformal Curve. Manas Journal of Engineering, Cilt: 6 - Sayı: 1, 26–45. https://ajindex.com/articles/687233

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Abdullayev F.G., Andrievskii V.V., On the orthogonal polynomials in the domains with K -quasiconformal boundary. Izv. Akad. Nauk Azerb. SSR., Ser. FTM, 1, (1983), 3-7. [in Russian]. 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.
  2. 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.
  3. Abdullayev F.G., Özkartepe P., On the growth of algebraic polynomials in the wholecomplex plane, J. Korean Math. Soc. 52(4), (2015), 699-725.
  4. 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.
  5. 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.
  6. Abdullayev F.G., Özkartepe N.P., Uniform and pointwise Bernstein-Walsh-type inequalities on a quasidisk in the complex plane, Bull. Belg. Math. Soc., 23 (2), (2016), 285-310.
  7. Ahlfors L, Lectures on Quasiconformal Mappings. Princeton, NJ: Van Nostrand, (1966).
  8. Anderson J. M., Becker J., Lesley F. D., Boundary values of asymptotically conformal mappings, J. London Math. Soc., 38, (1988), 453-462.
  9. 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).
  10. Belinskii P.P., General Properties of Quasiconformal Mappings, Nauka, Sib. otd., Novosibirsk, (1974). [in Russian] Becker J., Pommerenke C., Uber die quasikonforme Fortsetzung schlichten Funktionen, Math. Z., 161, (1978), 69-80.
  11. Dzyadyk V.K., Shevchuk I.A., Theory of Uniform Approximation of Functions by Polynomials, Walter de Gruyter Berlin New York, (2008).
  12. Dyn'kin E.M., Nonanalytic symmetry principle and conformal mappings. - St. Petersburg Math. J., 5, (1994), 523-544.
  13. Gutlyanskii V., Ryazanov V., On asymptotically conformal curves, Complex Variables, 25, (1994), 357-366.
  14. Gutlyanskii, V., Rya