Research Article

The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane

Volume: 48 Number: 1 February 1, 2019
EN

The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane

Abstract

The estimation of the modulus of algebraic polynomials on the boundary contour with weight function, having some singularities, with respect to the their quasinorm, on the weighted Lebesgue space was studied in this current work.

Keywords

References

  1. F.G. Abdullayev, On the some properties on orthogonal polynomials over the regions of complex plane 1. Ukr. Math. J. 52 (12), 1807-1817, 2000.
  2. F.G. Abdullayev, On the interference of the weight boundary contour orthogonal polynomials over the region, J. of Comp. Anal. and Appl. 6 (1), 31-42, 2004.
  3. F.G. Abdullayev and V.V. Andrievskii, On the orthogonal polynomials in the domains with $K$-quasiconformal boundary, Izv. Akad. Nauk Azerb. SSR., Ser. FTM, 1, 3-7, 1983.
  4. F.G. Abdullayev and C.D. Gün, On the behavior of the algebraic polynomials in regions with piecewise smooth boundary without cusps, Ann. Polon. Math. 111, 39-58, 2014.
  5. F.G. Abdullayev and N.P. Özkartepe, On the Behavior of the Algebraic Polynomial in Unbounded Regions with Piecewise Dini -Smooth Boundary, Ukr. Math. J., 66 (5), 579-597, 2014.
  6. F.G. Abdullayev and N.P. Özkartepe, On the growth of algebraic polynomials in the whole complex plane, J. Korean Math. Soc. 52 (4) 699-725, 2015.
  7. F.G. Abdullayev and N.P. Özkartepe, Uniform and pointwise polynomial inequalities in regions with cusps in the weighted Lebesgue space, Jaen J. Approx. 7 (2), 231-261, 2015.
  8. F.G. Abdullayev, N.P. Özkartepe, C.D. Gün, Uniform and pointwise polynomial inequalities in regions without cusps in the weighted Lebesgue space, Bulletin of Tbilisi ICMC 18 (1), 146-167, 2014.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

F.g. Abdullayev * This is me

Publication Date

February 1, 2019

Submission Date

November 17, 2016

Acceptance Date

September 19, 2017

Published in Issue

Year 2019 Volume: 48 Number: 1

APA
Özkartepe, P., & Abdullayev, F. (2019). The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane. Hacettepe Journal of Mathematics and Statistics, 48(1), 87-101. https://doi.org/10.15672/HJMS.2018.639
AMA
1.Özkartepe P, Abdullayev F. The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane. Hacettepe Journal of Mathematics and Statistics. 2019;48(1):87-101. doi:10.15672/HJMS.2018.639
Chicago
Özkartepe, P., and F.g. Abdullayev. 2019. “The Uniform and Pointwise Estimates for Polynomials on the Weighted Lebesgue Spaces in the General Regions of Complex Plane”. Hacettepe Journal of Mathematics and Statistics 48 (1): 87-101. https://doi.org/10.15672/HJMS.2018.639.
EndNote
Özkartepe P, Abdullayev F (February 1, 2019) The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane. Hacettepe Journal of Mathematics and Statistics 48 1 87–101.
IEEE
[1]P. Özkartepe and F. Abdullayev, “The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 1, pp. 87–101, Feb. 2019, doi: 10.15672/HJMS.2018.639.
ISNAD
Özkartepe, P. - Abdullayev, F.g. “The Uniform and Pointwise Estimates for Polynomials on the Weighted Lebesgue Spaces in the General Regions of Complex Plane”. Hacettepe Journal of Mathematics and Statistics 48/1 (February 1, 2019): 87-101. https://doi.org/10.15672/HJMS.2018.639.
JAMA
1.Özkartepe P, Abdullayev F. The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane. Hacettepe Journal of Mathematics and Statistics. 2019;48:87–101.
MLA
Özkartepe, P., and F.g. Abdullayev. “The Uniform and Pointwise Estimates for Polynomials on the Weighted Lebesgue Spaces in the General Regions of Complex Plane”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 1, Feb. 2019, pp. 87-101, doi:10.15672/HJMS.2018.639.
Vancouver
1.P. Özkartepe, F.g. Abdullayev. The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane. Hacettepe Journal of Mathematics and Statistics. 2019 Feb. 1;48(1):87-101. doi:10.15672/HJMS.2018.639

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