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An application of power increasing sequences

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In the present paper, a theorem dealing with |[수식], pn |k summability factors of infinite series has been generalized for |[수식], pn,θn|k summability . Some new results have also been obtained .

Abstract

In the present paper, a theorem dealing with |[수식], pn |k summability factors of infinite series has been generalized for |[수식], pn,θn|k summability . Some new results have also been obtained .

참고문헌 (10)

  1. S.Aljancic, "O-regularly varying functions", Publ. Inst. Math., 22, pp.5~22 (1977)
  2. H.Bor, "On two summability methods", Math. Proc. Camb. Philos Soc., 97, pp.147~149 (1985)
  3. H. Bor, "Absolute summability factors for infinite series", Indian J. Pure Appl. Math., 19, pp.664~671 (1988)
  4. H. Bor, "On the relative strength of two absolute summability methods", Proc. Amer. Math. Soc., 113, pp.1009~1012 (1991)
  5. H. Bor, "A note on absolute Riesz summability factors", Math. Inequal. Appl., 10, pp.619~625 (2007)
  6. T.M. Flett, "On an extension of absolute summability and some theorems of Littlewood and Paley", Proc. London Math. Soc., 7, pp.113~141 (1957)
  7. G.H.Hardy, "Divergent Series" (1949), Oxford Univ. Press
  8. E. Kogbetliantz, "Sur les s´eries absolument sommables par la m´ethode des moyennes arithm´etiques", Bull. Sci. Math., 49, pp.234~256 (1925)
  9. L. Leindler, "A new application of quasi power increasing sequences", Publ. Math. Debrecen, 58, pp.791~796 (2001)
  10. W. T. Sulaiman, "On some summability factors of infinite series", Proc. Amer. Math. Soc., 115, pp.313~317 (1992)

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