References
Borwein, D.: On the abcissae of summability of a Dirichlet series. J. London Math. Soc.30, 68–71 (1955).
— On a generalised Cesàro summability method of integral order. Tôhoku Math. J. (2),18, 71–73 (1966).
Borwein, D.: On a method of summability equivalent to the Cesàro method. J. London Math. Soc. (to appear).
Borwein, D.: On generalised Cesàro summability. Indian J. Math. (to appear).
Burkill, H.: On Riesz and Riemann summability. Proc. Cambridge Phil. Soc.57, 55–60 (1961).
Chandresekharan, K., andS. Minakshisundaram: Typical means. Bombay: Oxford University Press 1952.
Jurkat, W.B.: Über Rieszsche Mittel mit unstetigem Parameter. Math. Z.55, 8–12 (1951).
— Über Rieszsche Mittel und verwandte Klassen von Matrixtransformationen. Math. Z.57, 353–394 (1953).
Kuttner, B.: On discontinuous Riesz means of typen. J. London Math. Soc.37, 354–364 (1962).
—: The high indices theorem for discontinuous Riesz means. J. London Math. Soc.39, 635–642 (1964).
—: On discontinuous Riesz means of order 2. J. London Math. Soc.40, 332–337 (1965).
Maddox, I.J.: Generalized Cesàro means of order-1. Proc. Glasgow Math. Assn.7, 119–124 (1966).
Meir, A.: An inclusion theorem for generalized Cesàro and Riesz means. Canadian J. Math. (to appear).
Peyerimhoff, A.: The convergence fields of Nörlund means. Proc. Amer. Math. Soc.7, 335–347 (1956).
—: On discontinuous Riesz means. Indian J. Math.6, 69–91 (1964).
Riesz, M.: Sur les séries de Dirichlet et les séries entières. Comptes Rendus149, 909–912 (1909).
—: Une méthode de sommation équivalente à la méthode des moyennes arithmétiques. Comptes Rendus152, 1651–1654 (1911).
—: Sur l'équivalence de certaines méthodes de sommation. Proc. London Math. Soc. (2),22, 412–419 (1924).
Russell, D.C.: On generalized Cesàro means of integral order. Tôhoku Math. J. (2),17, 410–442 (1965). Corrigenda:18, 454–455 (1966).
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Borwein, D., Russell, D.C. On Riesz and generalised Cesàro summability of arbitrary positive order. Math Z 99, 171–177 (1967). https://doi.org/10.1007/BF01123746
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DOI: https://doi.org/10.1007/BF01123746