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Integrability of trigonometric series with generalized semi-convex coefficients

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Języki publikacji
EN
Abstrakty
EN
In this paper we deal with cosine and sine trigonometric series with generalized semi-convex coefficients. Integrability conditions for them are obtained.
Rocznik
Strony
521--528
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
  • University of Prishtina, Department of Mathematics and Computer Sciences, "Avenue “Mother Theresa" 5, Prishtinë 10000, Kosovo, xhevat-z-krasniqi@hotmail.com
Bibliografia
  • [1] J.W. Garret, C.S. Rees, C.V. Stanojevic, L1-convergence of Fourier series with coefficients of bounded variation, Proc. Amer. Math. Soc. 80 (1980) 3, 423–430.
  • [2] T. Kano, Coefficients of some trigonometric series, J. Fac. Sci. Shinshu Univ. 3 (1968), 153–162.
  • [3] K. Kaur, S.S. Bhatia, Integrability and L1􀀀convergence of Rees-Stanojevic sums with generalized semi-convex coefficients, Int. J. Math. Math. Sci. 30 (2002) 11, 645–650.
  • [4] A.N. Kolmogorov, Sur l’ordre de grandeur des coefficients de la série de Fourier-Lebesgue, Bulletin de l’Academie Polonaise (1923), 83–86.
  • [5] J. Németh, Power-monotone-sequences and integrability of trigonometric series, JIPAM. J. Inequal. Pure Appl. Math. 4 (2003) 1, Art. 3, 6pp.
  • [6] S. Tikhonov, On the integrability of trigonometric series, Math. Notes 73 (2005) 3, 437–442.
  • [7] L. Leindler, On integrability of functions defined by trigonometric series, JIPAM. J. Inequal. Pure Appl. Math. 9 (2008) 3, Art. 69, 10 pp.
  • [8] Xh.Z. Krasniqi, Integrability of cosine trigonometric series with coefficients of bounded variation of order p, Appl. Math. E-Notes 11 (2011), 61–66.
  • [9] Xh.Z. Krasniqi, On the first derivative of the sums of trigonometric series with quasi-convex coefficients of higher order, Acta Comment. Univ. Tartu. Math., vol. 14, 2010.
  • [10] S.A. Telyakovski˘ı, Localizing the conditions of integrability of trigonometric series, Trudy Mat. Inst. Steklov. 210 (1995), 264–273 [in Russian].
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHS-0004-0009
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