Journal of the Australian Mathematical Society  Series A
Vol. 65 Part 3 (1998)
Strong summability for the Marcinkiewicz means in the integral metric
and related questions
E. S. Belinsky
Department of Mathematics
University of Zimbabwe
Harare
Zimbabwe
Abstract:
The inequality of strong summability for the Marcinkiewicz means of
multiply
Fourier series is proved. The inequalities of strong
summability with gaps for the different classes of integrable functions
are established. The Bernstein inequality for the fractional derivative of
analytic polynomials is proved.
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