Remarks on some Tauberian theorems of Meyer-König, Tietz and Stieglitz
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- by D. Leviatan PDF
- Proc. Amer. Math. Soc. 29 (1971), 126-132 Request permission
Abstract:
A general theorem is proved which deduces from a Tauberian condition ${T_1}$ for a summability method, Tauberian condition ${T_2}$ for the summability method. Recent results of Meyer-König and Tietz and of Stieglitz are special cases.References
- Dany Leviatan, Some Tauberian theorems for quasi-Hausdorff transforms, Math. Z. 108 (1969), 213–222. MR 246021, DOI 10.1007/BF01112021
- Werner Meyer-König and Hubert Tietz, On Tauberian conditions of type $o$, Bull. Amer. Math. Soc. 73 (1967), 926–927. MR 216201, DOI 10.1090/S0002-9904-1967-11851-2
- W. Meyer-König and H. Tietz, Über die Limitierungsumkehrsätze von Typ $o$, Studia Math. 31 (1968), 205–216 (German). MR 235345, DOI 10.4064/sm-31-3-205-216
- Werner Meyer-König and Hubert Tietz, Über Umkehrbedingungen in der Limitierungstheorie, Arch. Math. (Brno) 5 (1969), 177–186 (German). MR 284746
- Michael Stieglitz, Über ausgezeichnete Tauber-Matrizen, Arch. Math. (Brno) 5 (1969), 227–233 (German). MR 285834
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 126-132
- MSC: Primary 40.42
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276647-4
- MathSciNet review: 0276647