|
This article is cited in 4 scientific papers (total in 4 papers)
Regularization of sequences in sense of E. M. Dyn'kin
R. A. Gaisin Bashkir State University, Zaki Validi str., 32, 450074, Ufa, Russia
Abstract:
We introduce the notion of strong regularization of positive sequences. We prove an existence criterion of regular in the sense of E. M. Dyn'kin non-quasi-analiticity minorant. The criterion is given in terms on the smallest concave majorant of the logarithm of its trace function. The proof is based on the properties of the Legendre transformation.
Keywords:
Carleman class, regular sequences, Legendre transform.
Received: 01.01.2015
Citation:
R. A. Gaisin, “Regularization of sequences in sense of E. M. Dyn'kin”, Ufa Math. J., 7:2 (2015), 64–70
Linking options:
https://www.mathnet.ru/eng/ufa279https://doi.org/10.13108/2015-7-2-64 https://www.mathnet.ru/eng/ufa/v7/i2/p66
|
| Statistics & downloads: |
| Abstract page: | 413 | | Russian version PDF: | 147 | | English version PDF: | 42 | | References: | 81 |
|