Buradasınız

Anasayfa » Content

On Integrability of Trigonometric Series with Special Type of Coefficients

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2013

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Bookmark/Search this post with
Abstract (Original Language): 
In this paper some condition on integrability of cosine and sine trigonometric series with coefficients that keep their signs are obtained. The results extend some previous results of Telyakovski˘ı.
FULL TEXT (PDF): 
PDF icon arastirmax-integrability-trigonometric-series-special-type-coefficients.pdf
  • 4
451
459
  • English

JEL Codes:

REFERENCES

References: 

[1] A. N. Kolmogorov. Sur l’ordre de grandeur des coefficients de la série de Fourier-
Lebesgue. Bulletin de l’Academie Polonaise, 83–86, 1923.
[2] Xh. Z. Krasniqi. Integrability of cosine trigonometric series with coefficients of bounded
variation of order p. Applied Mathematics E-Notes, 11:61–66, 2011.
[3] Xh. Z. Krasniqi. On the first derivative of the sums of trigonometric series with quasiconvex
coefficients of higher order. Acta et Commentationes Universitatis Tartuensis de
Mathematica, 14:53–63, 2010.
[4] Xh. Z. Krasniqi. Integrability of double cosine trigonometric series with coefficients of
bounded variation of second order. Commentationes Mathematicae, 51:125-139, 2011.
[5] B. V. Simonov. Trigonometric series in the Orlicz–Lorentz spaces. Izvestiya Vysshikh
Uchebnykh Zavedenii. Matematika, 51:61–74, 2007.
[6] S. A. Telyakovski˘ı. Localizing the conditions of integrability of trigonometric series (Russian).
Theory of functions and differential equations, Collection of articles. In honor of
the ninetieth birthday of Academician S. M. Nikolskii(Russian), Trudy Matematicheskogo
Instituta Imeni V. A. Steklova, 210:264–273, 1995.

Thank you for copying data from http://www.arastirmax.com