Summability with a governor of integral order
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- by G. Milton Wing PDF
- Bull. Amer. Math. Soc. 55 (1949), 146-155
References
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1. E. Cesàro, Sur la multiplication des séries, Bull. Sci. Math. (2) vol. 14 (1890) pp. 114-120.
2. G. H. Hardy, Theorems relating to the summability and convergence of slowly oscillating series, Proc. London Math. Soc. (2) vol. 8 (1910) pp. 301-320, esp. p. 309.
- Konrad Knopp, Theorie und Anwendung der Unendlichen Reihen, Springer-Verlag, Berlin-Heidelberg, 1947 (German). 4th ed. MR 0028430, DOI 10.1007/978-3-662-01232-1 4. N. E. Nörlund, Sur une application des fonctions permutables, Lunds Universitets Årsskrift N. F. Afdelning 2 vol. 16 (1920).
- George Piranian, A summation matrix with a governor, Bull. Amer. Math. Soc. 52 (1946), 882–889. MR 18230, DOI 10.1090/S0002-9904-1946-08666-8 6. M. Riesz, Sur la sommation des séries de Dirichlet, C. R. Acad. Sci. Paris vol. 149 (1909) pp. 18-21. 7. M. Riesz, Sur l’équivalence de certaines méthodes de sommation, Proc. London Math. Soc. (2) vol. 22 (1923-1924) pp. 412-419. 8. L. L. Silverman, On the definition of the sum of a divergent series, University of Missouri Studies, Mathematical Series, vol. 1, no. 1, 1913. 9. O. Toeplitz, Über allgemeine lineare Mittelbildungen, Prace Matematycznofizyczne vol. 22 (1911) pp. 113-119.
Additional Information
- Journal: Bull. Amer. Math. Soc. 55 (1949), 146-155
- DOI: https://doi.org/10.1090/S0002-9904-1949-09187-5
- MathSciNet review: 0028441