Kyungpook Mathematical Journal

  • 제53권4호
  • /
  • Pages.507-513
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  • 2013
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Some New Application of Power Increasing Sequences

  • Sulaiman, Waad (Department of Computer Engineering, College of Engineering, University of Mosul)
  • 투고 : 2011.09.08
  • 심사 : 2012.02.14
  • 발행 : 2013.12.23
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초록

A general theorem for absolute summability using quasi f-power increasing sequence is obtained. This result generalized and improved the result of Bor and $\ddot{O}$zarslan [2].

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참고문헌

  1. M. Balci, Absolute $\phi$-summability factors, Comm. Fac. Sci. Univ. Ankara Ser. A1, 29(8)(1980), 63-80.
  2. H. Bor and H. S. Ozarslan, A study on quasi power increasing sequences, Rocky Mountain J. Math., 38(2008), 801-807. https://doi.org/10.1216/RMJ-2008-38-3-801
  3. L. S. Bosanquet, A mean value theorem, J. London Math. Soc., 16(1941), 146-148.
  4. G. Das, Tauberian theorems for absolute Norlund summability, Proc. London Math. Soc., 19(1969), 457-484.
  5. L. Leindler, A new application of quasi power increasing sequences. Publ. Math. D., 58(2001), 791-796.
  6. W. T. Sulaiman, Relations on some summability methods, Proc. Amer. Math. Soc., 118(1993), 1139-1245. https://doi.org/10.1090/S0002-9939-1993-1159178-3
  7. W. T. Sulaiman, A general theorem covering many absolute summability methods, Collequium Marhematicum, 80(1999), 245-252. https://doi.org/10.4064/cm-80-2-245-252
  8. W. T. Sulaiman, Extensions on absolute summability factors of in nite series, J. Math. Anal. App., 322(2006), 1224-1230. https://doi.org/10.1016/j.jmaa.2005.09.019