Power series methods of summability: positivity and gap perfectness
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- by A. Jakimovski, W. Meyer-König and K. Zeller PDF
- Trans. Amer. Math. Soc. 266 (1981), 309-317 Request permission
Abstract:
A class of power series methods of summability is defined. By means of a positivity argument (Bohman-Korovkin) it is shown that each method of the class is gap perfect. This fact facilitates the proof of Tauberian gap theorems. Several examples are given.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 266 (1981), 309-317
- MSC: Primary 40H05; Secondary 40G10
- DOI: https://doi.org/10.1090/S0002-9947-1981-0613798-7
- MathSciNet review: 613798