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Original Articles

Several theorems on λ–summable series

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Pages 97-102 | Received 31 Aug 2009, Published online: 09 Jun 2011

References

  • Hardy , G.H. 1920 . A theorem concerning summable series . Proc. Cambridge Philos. Soc., , 20 : 34 – 37 .
  • Kangro , G. 1971 . A Tauberian remainder theorem for the Riesz method . Acta et commentationes universitatis Tartuensis, , 277 : 155 – 160 .
  • Móricz , F. and Rhoades , B.E. 1998 . An equivalent reformulation of summability by weighted mean methods . Linear algebra Appl., , 268 : 171 – 181 . Doi:10.1016/S0024–3795(97)00039–6.
  • Móricz , F. and Rhoades , B.E. 2002 . An equivalent reformulation of summability by weighted mean methods, revisited . Linear algebra Appl., , 394 : 187 – 192 . Doi:10.1016/S0024–3795(01)00604–8.
  • Tammeraid , I. 1971 . Tauberian remainder theorems for the Cesàro and Hölder methods of summability . Acta et commentationes universitatis Tartuensis, , 277 : 161 – 170 .
  • This work was supported by the Estonian Science Foundation, Research Grant No. ETF6943.

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