Strong summability for the Marcinkiewicz means in the integral metric and related questions

Authors
Belinsky, ES
Citation
Es. Belinsky, Strong summability for the Marcinkiewicz means in the integral metric and related questions, J AUS MAT A, 65, 1998, pp. 303-312
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
65
Year of publication
1998
Part
3
Pages
303 - 312
Database
ISI
SICI code
0263-6115(199812)65:<303:SSFTMM>2.0.ZU;2-6
Abstract
The inequality of strong summability for the Marcinkiewicz means of multipl y Fourier series is proved. The inequalities of strong summability with gap s for the different classes of integrable functions are established. The Be rnstein inequality for the fractional derivative of analytic polynomials is proved.