EN
On approximation of hexagonal Fourier series in the generalized Hölder metric
Abstract
Let $f$ be an $H$-periodic continuous function. The approximation order of the function $f$ by deferred Cesaro means of its hexagonal Fourier series is estimated in uniform and generalized H\"{o}lder metrics.
Keywords
References
- [1] R.P. Agnew, On deferred Cesàro means, Ann. of Math. 33 (3), 413–421, 1932.
- [2] J. Bustamante and M.A. Jimenez, Trends in Hölder approximation, in: Approxima- tion, Optimization and Mathematical Economics, 81–95, Springer, 2001.
- [3] R.A. DeVore and G.G. Lorentz, Constructive Approximation, Springer-Verlag, 1993.
- [4] B. Fuglede, Commuting self-adjoint partial differential operators and a group theoretic problem, J. Funct. Anal. 16, 101–121, 1974.
- [5] A. Guven, Approximation by means of hexagonal Fourier series in Hölder norms, J. Class. Anal. 1, 43–52, 2012.
- [6] A. Guven, Approximation by (C, 1) and Abel-Poisson means of Fourier series on hexagonal domains, Math. Inequal. Appl. 16, 175–191, 2013.
- [7] A. Guven, Approximation properties of hexagonal Fourier series in the generalized Hölder metric, Comput. Methods Funct. Theory, 13, 509–531, 2013.
- [8] A. Guven, On approximation of hexagonal Fourier series, Azerb. J. Math. 8, 52–68, 2018.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 2, 2020
Submission Date
January 15, 2019
Acceptance Date
May 28, 2019
Published in Issue
Year 2020 Volume: 49 Number: 3
APA
Aslan, H., & Güven, A. (2020). On approximation of hexagonal Fourier series in the generalized Hölder metric. Hacettepe Journal of Mathematics and Statistics, 49(3), 962-973. https://doi.org/10.15672/hujms.512908
AMA
1.Aslan H, Güven A. On approximation of hexagonal Fourier series in the generalized Hölder metric. Hacettepe Journal of Mathematics and Statistics. 2020;49(3):962-973. doi:10.15672/hujms.512908
Chicago
Aslan, Hatice, and Ali Güven. 2020. “On Approximation of Hexagonal Fourier Series in the Generalized Hölder Metric”. Hacettepe Journal of Mathematics and Statistics 49 (3): 962-73. https://doi.org/10.15672/hujms.512908.
EndNote
Aslan H, Güven A (June 1, 2020) On approximation of hexagonal Fourier series in the generalized Hölder metric. Hacettepe Journal of Mathematics and Statistics 49 3 962–973.
IEEE
[1]H. Aslan and A. Güven, “On approximation of hexagonal Fourier series in the generalized Hölder metric”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 3, pp. 962–973, June 2020, doi: 10.15672/hujms.512908.
ISNAD
Aslan, Hatice - Güven, Ali. “On Approximation of Hexagonal Fourier Series in the Generalized Hölder Metric”. Hacettepe Journal of Mathematics and Statistics 49/3 (June 1, 2020): 962-973. https://doi.org/10.15672/hujms.512908.
JAMA
1.Aslan H, Güven A. On approximation of hexagonal Fourier series in the generalized Hölder metric. Hacettepe Journal of Mathematics and Statistics. 2020;49:962–973.
MLA
Aslan, Hatice, and Ali Güven. “On Approximation of Hexagonal Fourier Series in the Generalized Hölder Metric”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 3, June 2020, pp. 962-73, doi:10.15672/hujms.512908.
Vancouver
1.Hatice Aslan, Ali Güven. On approximation of hexagonal Fourier series in the generalized Hölder metric. Hacettepe Journal of Mathematics and Statistics. 2020 Jun. 1;49(3):962-73. doi:10.15672/hujms.512908