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

Published online by Cambridge University Press:  09 April 2009

E. S. Belinsky
Affiliation:
Department of Mathematics, University of Zimbabwe, Harare, Zimbabwe e-mail: [email protected]
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1998

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