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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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1998-09-18