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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
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
Cited By
On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space
Ukrains’kyi Matematychnyi Zhurnal
https://doi.org/10.37863/umzh.v74i5.7052