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Original Articles

Generalized Euler‐Knopp method and convergence acceleration

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Pages 87-94 | Received 27 Sep 2005, Published online: 14 Oct 2010

References

  • Aasma , A. 1999 . Matrix transformations of λ‐boundedness fields of normal matrix methods . Stud. Sci. Math. Hungar , 35
  • Baron , S. 1977 . Introduction to the theory of summability of series , Valgus, Tallinn .
  • Boos , J. 2000 . Classical and modern methods in summability , Oxford : Oxford University Press .
  • Brezinski , C. 2000 . Numerical analysis 2000 . J. Comput. Appl. Math. , 122 : 1 – 357 .
  • Fridy , J. A. and Khan , M. K. 2003 . Statistical theorems in metric spaces . J. Math. Anal. Appl. , 282 : 744 – 755 .
  • Tammeraid , I. 2003 . Several remarks on acceleration of convergence using generalized linear methods of summability . J. Comput. Appl. Math. , 159 (2) : 365 – 373 .
  • Jefferies , B. and Piskarev , S. 2002 . Tauberian theorems for semigroups . Rendiconti del Circolo Math. Di Palermo , 68 : 513 – 521 .
  • Kangro , G. 1956 . On matrix transformations of sequences in Banach spaces . Proc. Estonian Acad. Sci. Tech. Phys. Math. , 5 : 108 – 128 . (in Russian)
  • Kangro , G. 1971 . Summability factors for the series λ‐bounded by the methods of Riesz and Cesàro . Acta Comment. Univ. Tartuensis , 277 : 136 – 154 . (in Russian)
  • Kornfeld , I. 1994 . Nonexistence of an universally accelerating linear summability methods . J. Comput. Appl. Math. , 53 : 309 – 321 .
  • Móricz , F. 2002 . Tauberian conditions, under which statistical convergence follows from statistical summability (C, 1) . J. Math. Anal. Appl. , 275 : 277 – 287 .
  • Nappus , A. and T&S;otilde , T. 1996 . Einige verallgemeinerte Matrixverfahren . Proc. Estonian Acad. Sci. Phys. Math. , 45 : 201 – 210 .
  • Sõrmus , T. 2000 . Tauberian theorems for generalized summability methods in Banach spaces . Proc. Estonian Acad. Sci. Phys. Math. , 49 : 170 – 182 .
  • Stadtmüller , U. and Tali , A. 2003 . Comparison of certain summability methods by speed of convergence . Anal. Math. , 29 : 277 – 242 .
  • Tammeraid , I. 1971 . Tauberian remainder theorems for the Euler‐Knopp method of summability . Acta Comment. Univ. Tartuensis , 277 : 171 – 182 . (in Russian)
  • Tammeraid , I. 2001 . “ Convergence rate of iterative process and weighted means ” . In Proc. of the OFEA'2001 volume 2 , 49 – 55 . St. Petersburg, Russia 2002
  • Tammeraid , I. 2003 . Convergence acceleration and linear methods . Math. Model. and Anal. , 8 (1) : 87 – 92 .
  • Tammeraid , I. 2003 . Generalized linear methods and convergence acceleration . Math. Model. and Anal. , 8 : 329 – 335 .
  • Tammeraid , I. 2004 . Generalized Riesz method and convergence acceleration . Math. Model. and Anal. , 9 : 341 – 348 .
  • Zeller , K. 1952 . Verallgemeinerte Matrix Transformationen . Math. Z. , 56 : 18 – 20 .

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