On a high-indices theorem in Borel summability-Reference-Cited by-同舟云学术

On a high-indices theorem in Borel summability

Published:1956-09 Issue:3-4 Volume:7 Page:265-281
ISSN:0001-5954
Container-title:Acta Mathematica Academiae Scientiarum Hungaricae
language:en
Short-container-title:Acta Mathematica Academiae Scientiarum Hungaricae

Author:

Erdős P.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02020523.pdf

Reference6 articles.

1. K. Knopp, Über das Eulersche Summierungsverfahren I,Math. Zeitschr.,15 (1922), pp. 226–253; II,18 (1923), pp. 125–156.

2. W. Meyer-König, Die Umkehrung des Euler-Knoppschen und des Borelschen Limitierungsverfahrens auf Grund einer Lückenbedingung,Math. Zeitschr.,49 (1943–44), pp. 151–160.

3. P. Erdős,Acad. Serbe Sci. Publ. Inst. Math.,4 (1952), pp. 51–56. RecentlyMeyer-König proved his conjecture:W. Meyer-König, Bemerkung zu einem Lückenumkehrsatz von H. R. Pitt,Math. Zeitschr.,57 (1952–53), pp. 351–352.

4. H. R. Pitt, General Tauberian theorems,Proc. London Math. Soc., Ser. II,44 (1938), pp. 243–288, Theorem 17.

5. A similar lemma is used in a paper byMacintyre and myself,Edinburgh Math. Proc., Ser. 2,10 (1954).

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Summability in topological spaces;Applied Mathematics Letters;2011-03

2. Statistical gap Tauberian theorems in metric spaces;Journal of Mathematical Analysis and Applications;2003-06

3. Growth of power series with square root gaps;Journal d'Analyse Mathématique;2001-12

4. Der allgemeine L�ckenumkehrsatz f�r das Borel-Verfahren;Mathematische Zeitschrift;1965

5. On Borel’s method of summability;Proceedings of the American Mathematical Society;1960