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A theorem for the (J, p) summability method

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Abstract

A theorem of slowly decreasing type is proved for the (J, p) summability method.

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References

  1. Schmidt R.: Über divergente Folgen und Mittelbildungen. Math. Z., 22, 89–152 (1925)

    Article  MATH  MathSciNet  Google Scholar 

  2. Kratz W., Stadtmüller U.: O-Tauberian theorems for J p -methods with rapidly increasing weights. J. London Math. Soc. (2) 41, 489–502 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  3. F. Móricz and B. E. Rhoades, Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability. II, Acta Math. Hungar., 102 (2004), 279–285.

  4. F. Móricz and U. Stadtmüller, Characterization of the convergence of weighted averages of sequences and functions, Period. Math. Hungar., 65 (2012), 135–145.

  5. İ. Çanak and Ü. Totur, Some Tauberian theorems for the weighted mean methods of summability, Comput. Math. Appl., 62 (2011), 2609–2615.

  6. İ. Çanak and Ü. Totur, Tauberian theorems for the (J, p) summability method, Appl. Math. Lett., 25 (2012), 1430–1434.

  7. İ. Çanak and Ü. Totur, Extended Tauberian theorem for the weighted mean method of summability, Ukrainian Math. J., 65 (2013), 1032–1041.

  8. Totur Ü., Çanak İ.: Some general Tauberian conditions for the weighted mean summability method. Comput. Math. Appl., 63, 999–1006 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  9. Tietz H., Trautner R.: Tauber-Sätze für Potenzreihenverfahren. Arch. Math., 50, 164–174 (1998)

    Article  MathSciNet  Google Scholar 

  10. S. Baron and H. Tietz, Produktsätze für Potenzreihenverfahren und verallgemeinerte Nörlund-Mittel, Tartu Ül. Toimetised.,960 (1993), 13–22.

  11. G. A. Mikhalin, Theorem of Tauberian type for (J, p n ) summation methods, Ukrain. Mat. Zh., 29 (1977), 763–770. English translation: Ukrain. Math. J., 29 (1977), 564–569.

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Authors and Affiliations

  1. Department of Mathematics, Ege University, Izmir, Turkey

    İ. Çanak

  2. Department of Mathematics, Adnan Menderes University, Izmir, Turkey

    Ü. Totur

Authors
  1. İ. Çanak
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  2. Ü. Totur
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Correspondence to İ. Çanak.

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Çanak, İ., Totur, Ü. A theorem for the (J, p) summability method. Acta Math. Hungar. 145, 220–228 (2015). https://doi.org/10.1007/s10474-014-0452-y

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  • DOI: https://doi.org/10.1007/s10474-014-0452-y

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