Research Article

On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles

Volume: 9 Number: 1 June 30, 2021
EN

On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles

Abstract

In this work we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with interior zero and exterior non zero angles.

Keywords

References

  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, 1983, 1, 3-7.
  2. Abdullayev F. G., “On the interference of the weight boundary contour for orthogonal polynomials over the region”, J. of Comp. Anal. and Appl., 6 (1), 31-42, (2004).
  3. Abdullayev F. G., Özkartepe P., “On the behavior of the algebraic polynomial in unbounded regions with piecewise dini-smooth boundary”, Ukr. Math. J. , Vol. 66 , No: 5, 2014, pp. 645-665.
  4. Abdullayev F. G., Gün C. D., “On the behavior of the algebraic polynomials in regions with piecewise smooth boundary without cusps”, Ann. Polon. Math., 2014, 111, 39-58.
  5. Abdullayev F. G., Gün C. D., Özkartepe P., “Inequalities for algebraic polynomials in regions with exterior cusps”, J. Nonlinear Funct. Anal. Article ID 3, 1-32, (2015).
  6. Abdullayev F. G., Özkartepe P., “On the growth of algebraic polynomials in the whole complex plane”, J. Korean Math. Soc. 52(4, 699-725, (2015).
  7. 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), 231-261, (2015).
  8. 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), 209-227, (2016).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

December 24, 2020

Acceptance Date

January 18, 2021

Published in Issue

Year 2021 Volume: 9 Number: 1

APA
Gün, C. D. (2021). On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles. MANAS Journal of Engineering, 9(1), 93-103. https://doi.org/10.51354/mjen.846484
AMA
1.Gün CD. On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles. MJEN. 2021;9(1):93-103. doi:10.51354/mjen.846484
Chicago
Gün, Cevahir Doğanay. 2021. “On Some Inequalities for Derivatives of Algebraic Polynomials in Unbounded Regions With Angles”. MANAS Journal of Engineering 9 (1): 93-103. https://doi.org/10.51354/mjen.846484.
EndNote
Gün CD (June 1, 2021) On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles. MANAS Journal of Engineering 9 1 93–103.
IEEE
[1]C. D. Gün, “On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles”, MJEN, vol. 9, no. 1, pp. 93–103, June 2021, doi: 10.51354/mjen.846484.
ISNAD
Gün, Cevahir Doğanay. “On Some Inequalities for Derivatives of Algebraic Polynomials in Unbounded Regions With Angles”. MANAS Journal of Engineering 9/1 (June 1, 2021): 93-103. https://doi.org/10.51354/mjen.846484.
JAMA
1.Gün CD. On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles. MJEN. 2021;9:93–103.
MLA
Gün, Cevahir Doğanay. “On Some Inequalities for Derivatives of Algebraic Polynomials in Unbounded Regions With Angles”. MANAS Journal of Engineering, vol. 9, no. 1, June 2021, pp. 93-103, doi:10.51354/mjen.846484.
Vancouver
1.Cevahir Doğanay Gün. On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles. MJEN. 2021 Jun. 1;9(1):93-103. doi:10.51354/mjen.846484

Cited By

Manas Journal of Engineering 

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