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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 436094, 6 pages
http://dx.doi.org/10.1155/2012/436094
Research Article

Power Increasing Sequences and Their Some New Applications

P.O. Box 121, Bahçelievler, 06502 Ankara, Turkey

Received 10 August 2012; Revised 29 August 2012; Accepted 12 September 2012

Academic Editor: Toka Diagana

Copyright © 2012 Hüseyin Bor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. K. Bari and S. B. Stečkin, “Best approximations and differential properties of two conjugate functions,” Trudy Moskovskogo Matematičeskogo Obščestva, vol. 5, pp. 483–522, 1956 (Russian).
  2. L. Leindler, “A new application of quasi power increasing sequences,” Publicationes Mathematicae Debrecen, vol. 58, no. 4, pp. 791–796, 2001. View at Zentralblatt MATH
  3. H. Bor, “On two summability methods,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 97, no. 1, pp. 147–149, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. W. T. Sulaiman, “On some summability factors of infinite series,” Proceedings of the American Mathematical Society, vol. 115, no. 2, pp. 313–317, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. T. M. Flett, “On an extension of absolute summability and some theorems of Littlewood and Paley,” Proceedings of the London Mathematical Society, vol. 7, pp. 113–141, 1957. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. H. Bor, “On the relative strength of two absolute summability methods,” Proceedings of the American Mathematical Society, vol. 113, no. 4, pp. 1009–1012, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. H. Bor, “On some new applications of power increasing sequences,” Comptes Rendus Mathématique. Académie des Sciences. Paris, vol. 346, no. 7-8, pp. 391–394, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. S. M. Mazhar, “Absolute summability factors of infinite series,” Kyungpook Mathematical Journal, vol. 39, no. 1, pp. 67–73, 1999. View at Zentralblatt MATH
  9. H. Bor, “A study on weighted mean summability,” Rendiconti del Circolo Matematico di Palermo. Serie II, vol. 56, no. 2, pp. 198–206, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH