Kloosterman’s method in Tauberian theorems for $C_ k$ summability
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- by Jacob Korevaar
- Proc. Amer. Math. Soc. 5 (1954), 574-577
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064888-0
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References
- L. S. Bosanquet, Note on convexity theorems, J. London Math. Soc. 18 (1943), 239–248. MR 10599, DOI 10.1112/jlms/s1-18.4.239
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- H. D. Kloosterman, On the convergence of series summable $(C,r)$ and on the magnitude of the derivatives of a function of a real variable, J. London Math. Soc. 15 (1940), 91–96. MR 2639, DOI 10.1112/jlms/s1-15.2.91
- H. D. Kloosterman, Derivatives and finite differences, Duke Math. J. 17 (1950), 169–186. MR 35319, DOI 10.1215/S0012-7094-50-01718-2
- Konrad Knopp, On the proof of the main Tauberian theorem for the $C_k$-and $H_k$-methods, Proc. Amer. Math. Soc. 5 (1954), 571–573. MR 64158, DOI 10.1090/S0002-9939-1954-0064158-0 A. A. Markoff, Differenzenrechnung (German translation of the Russian edition), Leipzig, 1896. W. Meyer-König, Limitierungsumkehrsätze mit Lückenbedingungen, I, Math. Zeit. vol. 45 (1939) pp. 447-478.
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 574-577
- MSC: Primary 40.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064888-0
- MathSciNet review: 0064888