Absolute almost weighted summability methods

In this paper, we introduce absolute almost weighted convergent series and treat with the classical results of Bor [3- 4] and also study some relations between this method and the well known spaces.

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S. Banach, “Theorie des operations lineaires”, Warsaw, 1932.

H. Bor, “On two summability methods”, Math. Proc. Camb. Phil. Soc., vol.97, pp.147-149, 1985.

H. Bor, “A note on two summability methods”, Proc. Amer. Math. Soc., vol.98, pp. 81-84, 1986.

G. Das, B. Kuttner and S. Nanda, “Some sequence suquences”, Trans. Amer. Math. Soc., vol. 283, pp.729-739, 1984.

T.M. Flett, “On an extension of absolute summability and some theorems of Littlewood and Paley,” Proc. London Math. Soc., vol. 7, pp.113-141, 1957.

G.C. Hazar and F. Gökce, “On summability methods ??f ? ? and|?, 0|?”, Bull. Math. Anal. Appl., vol. 8 (1), pp.22-26, 2016.

G.C.H. Güleç, “Summability factor relations between absolute weighted and Cesàro means”, Math Meth Appl Sci., Special Issue, pp. 1-5, 2018 (Doi: 10.1002/mma.5399).

G.G. Lorentz, “A contribution to the theory of divergent sequences”, Acta Math., vol. 80, pp. 167-190, 1948.

I.J. Maddox, “Elements of Functional Analysis”, Cambridge Univ. Press, 1970.

M.A. Sarıgöl, “Necessary and sufficient conditions for the equivalence of the summability methods”, Indian J. Pure Appl. Math., vol. 22, pp. 483-489, 1991.

M.A. Sarıgöl, “On absolute weighted mean summbility methods”, Proc. Amer. Math. Soc., vol. 115, pp.157-160, 1992.

M.A. Sarıgöl, “On inclusion relations for absolute weighted mean summability”, J. Math. Anal. Appl., vol.181, pp. 762-767, 1994.

M.A. Sarıgöl and H. Bor, “Characterization of absolute summability factors”, J. Math. Anal. Appl., vol. 195, pp. 537-545, 1995.

M.A. Sarıgöl, “On the local properties of factored Fourier series”, Appl. Math. Comp., vol. 216, pp. 3386-3390, 2010.

M.A. Sarıgöl, “Matrix transformations on fields of absolute weighted mean summability”, Studia Sci. Math. Hungarica, vol. 48 (3), pp. 331-341, 2011.
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi-Cover
  • ISSN: 1301-4048
  • Yayın Aralığı: Yılda 6 Sayı
  • Başlangıç: 1997
  • Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü