Analogues of some fundamental theorems of summability theory
In 1911, Steinhaus presented the following theorem: if A is a regular matrix then there exists a sequence of 0's and 1's which is not A-summable. In 1943, R. C. Buck characterized convergent sequences as follows: a sequence x is convergent if and only if there exists a regular matrix A whi...
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Main Author: | Richard F. Patterson |
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Format: | Article |
Language: | English |
Published: |
Wiley
2000-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171200001782 |
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