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On ( h(n)) summability methods
- Source :
- Mathematical Proceedings of the Cambridge Philosophical Society. 97:189-193
- Publication Year :
- 1985
- Publisher :
- Cambridge University Press (CUP), 1985.
-
Abstract
- In 1967 Segal introduced the Dirichlet convolution (, h(n)), generalizing a method of Ingham developed in studies on the Prime Number Theorem. In this paper we establish necessary and sufficient conditions on the sequence h(n) in order that the convolution method (, h(n)) be conservative. Further conditions are established for the method to be absolutely conservative.
Details
- ISSN :
- 14698064 and 03050041
- Volume :
- 97
- Database :
- OpenAIRE
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Accession number :
- edsair.doi...........de221dd1f5374db50c7165bb5e842ab1