Araştırma Makalesi
BibTex RIS Kaynak Göster

Some Approximation Properties of Series with Nonlinear Fourier Basis

Yıl 2018, Cilt: 6 Sayı: 2, 22 - 27, 31.10.2018
https://doi.org/10.36753/mathenot.476784

Öz

The order of approximation of generalized de la Vallée Poussin means of series with nonlinear Fourier
basis was investigated in uniform and Hölder norms.

Kaynakça

  • [1] DeVore, R. A. and Lorentz, G., Constructive Approximation, Springer-Verlag. New York, 1993.
  • [2] Holland, A. S. B., A survey of degree of approximation of continuous functions. SIAM Rev. 23 (1981), 344-379.
  • [3] Huang, C. and Yang L., Approximation by the nonlinear Fourier basis. Sci. China Math. 54 (2011), 1207-1214.
  • [4] Leindler, L., On summability of Fourier series. Acta Sci. Math. Szeged 29 (1968), 147-162.
  • [5] Leindler, L., Meir, A. and Totik, V., On approximation of continuous functions in Lipschitz norms. Acta Math. Hung 45 (1985), 441-443.
  • [6] Prössdorf, S., Zur konvergenz der Fourierreihen hölderstetiger funktionen. Math. Nachr. 69 (1975), 7-14.
  • [7] Qian, T., Analytic signals and harmonic measures. J. Math. Anal. Appl. 314 (2006), 526-536.
  • [8] Qian, T. and Chen, Q., Characterization of analytic phase signals. Comput. Math. Appl. 51 (2006), 1471-1482.
  • [9] Stypinski, Z., On a generalization of the theorem of Prössdorf. Funct. Approx. Comment. Math. 7 (1979), 101-104.
  • [10] Timan, A. F., Theory of approximation of functions of a real variable, Pergamon Press, 1963.
  • [11] Zygmund, A., Trigonometric series, Vols. I-II, 2nd edition, Cambridge Univ. Press, London, 1959.
Yıl 2018, Cilt: 6 Sayı: 2, 22 - 27, 31.10.2018
https://doi.org/10.36753/mathenot.476784

Öz

Kaynakça

  • [1] DeVore, R. A. and Lorentz, G., Constructive Approximation, Springer-Verlag. New York, 1993.
  • [2] Holland, A. S. B., A survey of degree of approximation of continuous functions. SIAM Rev. 23 (1981), 344-379.
  • [3] Huang, C. and Yang L., Approximation by the nonlinear Fourier basis. Sci. China Math. 54 (2011), 1207-1214.
  • [4] Leindler, L., On summability of Fourier series. Acta Sci. Math. Szeged 29 (1968), 147-162.
  • [5] Leindler, L., Meir, A. and Totik, V., On approximation of continuous functions in Lipschitz norms. Acta Math. Hung 45 (1985), 441-443.
  • [6] Prössdorf, S., Zur konvergenz der Fourierreihen hölderstetiger funktionen. Math. Nachr. 69 (1975), 7-14.
  • [7] Qian, T., Analytic signals and harmonic measures. J. Math. Anal. Appl. 314 (2006), 526-536.
  • [8] Qian, T. and Chen, Q., Characterization of analytic phase signals. Comput. Math. Appl. 51 (2006), 1471-1482.
  • [9] Stypinski, Z., On a generalization of the theorem of Prössdorf. Funct. Approx. Comment. Math. 7 (1979), 101-104.
  • [10] Timan, A. F., Theory of approximation of functions of a real variable, Pergamon Press, 1963.
  • [11] Zygmund, A., Trigonometric series, Vols. I-II, 2nd edition, Cambridge Univ. Press, London, 1959.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Hatice Aslan Bu kişi benim 0000-0002-3486-4179

Ali Güven 0000-0001-8878-250X

Yayımlanma Tarihi 31 Ekim 2018
Gönderilme Tarihi 6 Haziran 2018
Kabul Tarihi 13 Eylül 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 6 Sayı: 2

Kaynak Göster

APA Aslan, H., & Güven, A. (2018). Some Approximation Properties of Series with Nonlinear Fourier Basis. Mathematical Sciences and Applications E-Notes, 6(2), 22-27. https://doi.org/10.36753/mathenot.476784
AMA Aslan H, Güven A. Some Approximation Properties of Series with Nonlinear Fourier Basis. Math. Sci. Appl. E-Notes. Ekim 2018;6(2):22-27. doi:10.36753/mathenot.476784
Chicago Aslan, Hatice, ve Ali Güven. “Some Approximation Properties of Series With Nonlinear Fourier Basis”. Mathematical Sciences and Applications E-Notes 6, sy. 2 (Ekim 2018): 22-27. https://doi.org/10.36753/mathenot.476784.
EndNote Aslan H, Güven A (01 Ekim 2018) Some Approximation Properties of Series with Nonlinear Fourier Basis. Mathematical Sciences and Applications E-Notes 6 2 22–27.
IEEE H. Aslan ve A. Güven, “Some Approximation Properties of Series with Nonlinear Fourier Basis”, Math. Sci. Appl. E-Notes, c. 6, sy. 2, ss. 22–27, 2018, doi: 10.36753/mathenot.476784.
ISNAD Aslan, Hatice - Güven, Ali. “Some Approximation Properties of Series With Nonlinear Fourier Basis”. Mathematical Sciences and Applications E-Notes 6/2 (Ekim 2018), 22-27. https://doi.org/10.36753/mathenot.476784.
JAMA Aslan H, Güven A. Some Approximation Properties of Series with Nonlinear Fourier Basis. Math. Sci. Appl. E-Notes. 2018;6:22–27.
MLA Aslan, Hatice ve Ali Güven. “Some Approximation Properties of Series With Nonlinear Fourier Basis”. Mathematical Sciences and Applications E-Notes, c. 6, sy. 2, 2018, ss. 22-27, doi:10.36753/mathenot.476784.
Vancouver Aslan H, Güven A. Some Approximation Properties of Series with Nonlinear Fourier Basis. Math. Sci. Appl. E-Notes. 2018;6(2):22-7.

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.