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Direct theorems on methods of summability III: absolute summability functions

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References

  1. Hahn, H.: Über Folgen linearer Operationen. Mh. Math. Phys.32, 3–88 (1922).

    Google Scholar 

  2. Hardy, G. H., andM. Riesz: The General Theory of Dirichlet Series. Cambridge 1915.

  3. Knopp, K., andG. G. Lorentz: Beiträge zur absoluten Limitierung. Arch. d. Math.2, 10–16 (1949).

    Google Scholar 

  4. Lorentz, G. G.: Über Limitierungsverfahren, die von einem Stieltjes-Integral abhängen. Acta Math.79, 255–272 (1947).

    Google Scholar 

  5. Lorentz, G. G.: A contribution to the theory of divergent sequences. Acta Math.80, 167–190 (1948).

    Google Scholar 

  6. Lorentz, G. G.: Direct theorems on methods of summability. Canad. J. Math.1, 305–319 (1949).

    Google Scholar 

  7. Lorentz, G. G.: Direct theorems on methods of summability. II. Canad. J. Math.3, 236–256 (1951).

    Google Scholar 

  8. Lorentz, G. G.: Riesz methods of summation and orthogonal series. Trans. Roy. Soc. Canada, III. Ser.45, 19–32 (1951).

    Google Scholar 

  9. Mears, F. M.: Absolute regularity and the Nörlund mean. Ann. of Math.38, 594–601 (1937).

    Google Scholar 

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This paper was written while the authors were members of the Summer Research Institute, Canadian Mathematical Congress, Kingston 1952.

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Lorentz, G.G., Macphail, M.S. Direct theorems on methods of summability III: absolute summability functions. Math Z 59, 231–246 (1953). https://doi.org/10.1007/BF01180254

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  • DOI: https://doi.org/10.1007/BF01180254

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