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On Two Problems Concerning the Generalized Lototsky Transforms

Published online by Cambridge University Press:  20 November 2018

Amram Meir
Amram Meir*
Affiliation:
The Hebrew University, Jerusalem, Israel
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The generalized Lototsky transform (or the [F, dn] transform) of a sequence {sn} into a sequence {tn) was defined in (2) in the following way: Let {dn) (dn ≠ —1) be a fixed complex sequence and let

then the sequence {tn} is defined by

In a recent paper by V. F. Cowling and C. L. Miracle (1) on these transformations, the following two problems were left open.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 339 - 342
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Cowling, V. F. and Miracle, C. L., Some results for the generalized Lototsky transform, Can. J. Math., 14 (1962), 418–435.Google Scholar
2. Jakimovski, A., A generalization of the Lototsky method of summability, Mich. Math. J. (1959), 277-290.Google Scholar