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On the Seneta Sequences

On the Seneta Sequences
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摘要 In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class SOc. In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class SOc.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期689-692,共4页 数学学报(英文版)
基金 Supported by the Grant No.144031 by Ministary of Science of Republic of Serbia
关键词 Regularly varying functions and sequences Seneta functions and sequences Representation theorem Regularly varying functions and sequences, Seneta functions and sequences, Representation theorem
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参考文献8

  • 1Bingham, N. H., Goldie, C. M., Teugels, J. L.: Regular Variation, Cambridge Univ. Press, Cambridge, 1987
  • 2Seneta, E., Drasin, D.: A generalization of slowly varying functions. Proc, Amer. Math. Soc., 96, 470-472(1986)
  • 3Seneta, E.: Regularly varying functions, Lecture Notes in Math., No. 508, Springer-Verlag, Berlin, 1976
  • 4Djurcic, D., Bozin, V.: A proof of a S. Aljaneie hypothesis on θ-regularly varying sequences. Publ. Inst.Math. (Beograd), 62(76), 46-52 (1997)
  • 5Galambos, J., Seneta, E.: Regularly varying sequences. Proc. Amer. Math. Soc. 41, 110-116 (1973)
  • 6Djurcic, D.: θ-regularly varying functions and strong asymptotic equivalence. Journal Math. Anal, Appl.,220, 451-461 (1998)
  • 7Bojanic R., Seneta, E.: A unified theory of regularly varying sequences. Math. Zeits., 134, 91-106 (1973)
  • 8Djurcic, D., Torgasev, A.: θ-regular variability and power series. Filomat, 15, 215-220 (2001)

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