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The class of regular matrix transformations of Voronoi-Nörlund type

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Literature cited

  1. G. H. Hardy, Divergent Series, Oxford (1949).

  2. L. L. Silverman and O. Szász, “On a class of Nörlund matrices,” Ann. Math.,45, 347–357 (1944).

    Google Scholar 

  3. G. M. Petersen, “A note on divergent series,” Canadian J. Math.,4, 445–454 (1952).

    Google Scholar 

  4. A. Peyerimhoff, “On convergence fields of Nörlund means,” Proc. Amer. Math. Soc.,7, No. 3, 335–347 (1956).

    Google Scholar 

  5. J. D. Hill and W. T. Sledd, “Summability-(Z, p) and sequences of periodic type,” Canadian J. Math.,16, No. 4, 741–754 (1964).

    Google Scholar 

  6. P. Erdös and G. Piranian, “Laconicity and redundancy of Toeplitz matrices,” Math. Zeit.,83, 381–394 (1964).

    Google Scholar 

  7. D. Borwein, “Nörlund methods of summability associated with polynomials,” Proc. Edinburgh Math. Soc.,12, No. 1, 7–15 (1960).

    Google Scholar 

  8. K. Ishiguro, “On the summability method (Y),” Proc. Japan Acad.,40, No. 7, 482–486 (1964).

    Google Scholar 

  9. K. Zeller and W. Beekmann, Theorie der Limitierungsverfahren, Springer-Verlag, Berlin-Heidelberg-New York (1970).

    Google Scholar 

  10. I. M. Gel'fand, D. A. Raikov, and G. E. Shilov, Commutative Normed Rings [in Russian], Fizmatgiz, Moscow (1960).

    Google Scholar 

  11. R. G. Cook, Infinite Matrices and Sequence Spaces, Macmillan, London (1950).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 5, pp. 622–628, September–October, 1976.

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Mel'nik, V.I. The class of regular matrix transformations of Voronoi-Nörlund type. Ukr Math J 28, 483–487 (1976). https://doi.org/10.1007/BF01095207

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  • DOI: https://doi.org/10.1007/BF01095207

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