Research Article

On approximation of hexagonal Fourier series in the generalized Hölder metric

Volume: 49 Number: 3 June 2, 2020
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. [1] R.P. Agnew, On deferred Cesàro means, Ann. of Math. 33 (3), 413–421, 1932.
  2. [2] J. Bustamante and M.A. Jimenez, Trends in Hölder approximation, in: Approxima- tion, Optimization and Mathematical Economics, 81–95, Springer, 2001.
  3. [3] R.A. DeVore and G.G. Lorentz, Constructive Approximation, Springer-Verlag, 1993.
  4. [4] B. Fuglede, Commuting self-adjoint partial differential operators and a group theoretic problem, J. Funct. Anal. 16, 101–121, 1974.
  5. [5] A. Guven, Approximation by means of hexagonal Fourier series in Hölder norms, J. Class. Anal. 1, 43–52, 2012.
  6. [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. [7] A. Guven, Approximation properties of hexagonal Fourier series in the generalized Hölder metric, Comput. Methods Funct. Theory, 13, 509–531, 2013.
  8. [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