On Methods of Summability Based on Integral Functions. II

Author:

Borwein D.

Abstract

In two recent papers ((l), (2)) I investigated inclusion relations between IF (integral function) methods of summability. In the present paper the investigation is continued with the aid of standard Mellin transform theory and results due to Rogosinski and to Kuttner.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. On Hausdorff's methods of summability

2. A generalization of Abel summability

3. Bemerkung zum Borelschen limitierungsverfahren;Knopp;R.C. Circ. mat,1930

Cited by 6 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. Inclusion relations between power methods and matrix methods of limitation;Transactions of the American Mathematical Society;1977

2. Iteration products of methods of summability and natural scales;Manuscripta Mathematica;1974-12

3. Tauberian relations between the Abel-type and the Borel-type methods of summability;Manuscripta Mathematica;1971-12

4. On the relation between the Abel-type and Borel-type methods of summability;Proceedings of the American Mathematical Society;1970

5. On absolute Borel-type methods of summability;Proceedings of the American Mathematical Society;1970

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