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On some new applications of increasing sequence

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In the present paper, a theorem on j ¯N ; pn; ± jk summability factors of infinite series has been proved under weaker conditions. Some new results have also been obtained dealing with j ¯N ; pn jk and j C; 1; ± jk summability factors.

Abstract

In the present paper, a theorem on j ¯N ; pn; ± jk summability factors of infinite series has been proved under weaker conditions. Some new results have also been obtained dealing with j ¯N ; pn jk and j C; 1; ± jk summability factors.

참고문헌 (12)

  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., 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 local property of j ¯N ; pn; ± jk summability of factored Fourier series", J. Math. Anal. Appl, 179, pp.646~649 (1993)
  5. H. Bor, "A note on absolute Riesz summability factors", Math.Inequal.Appl, 10, pp.619~625 (2007)
  6. H. Bor, "A study on absolute Riesz summability factors", Rend.Circ.Mat.Palermo, 56(2), pp.358~368 (2007)
  7. H. Bor, "Some new applications of increasing sequences", ~
  8. T.M. Flett, "On an extension of absolute summability and some theorems of Littlewood and Paley", Proc. London Math. Soc., pp.113~141 (1957)
  9. T.M. Flett, "Some more theorems concerning the absolute summability of Fourier series and power series", Proc. London Math. Soc., pp.357~387 (1958)
  10. G.H. Hardy, "Divergent Series" (1949), Oxford Univ. Press.
  11. E. Kogbetliantz, "Sur l´es series absolument sommables par la m´ethode des moyennes arithm´etiques", Bull. Sci. Math, 49, pp.234~256 (1925)
  12. L. Leindler, "A new application of quasi power increasing sequences", Publ. Math. Debrecen, 58, pp.791~796 (2001)

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