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Some Approximation Properties of Series with Nonlinear Fourier Basis

Yıl 2018, Cilt: 6 Sayı: 2, 22 - 27, 31.10.2018

Hatice Aslan Ali Güven

https://doi.org/10.36753/mathenot.476784
Cited By: 1

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.

Anahtar Kelimeler

Generalized de la Vallée Poussin mean nonlinear Fourier basis order of approximation

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

Hatice Aslan Ali Güven

https://doi.org/10.36753/mathenot.476784
Cited By: 1

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 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.

Cited By

On summability of Fourier series by the repeated de la Vallée Poussin sums
The Journal of Analysis
https://doi.org/10.1007/s41478-021-00313-w

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