caa a22 4500 388046368 CHVBK 20180307125039.0 cr unu---uuuuu 161130e199812 xx s 000 0 eng 10.1017/S1446788700035898 doi S1446788700035898 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700035898 Belinsky E. S. Department of Mathematics, University of Zimbabwe, Harare, Zimbabwe e-mail: belinsky@maths.uz.ac.zw Strong summability for the Marcinkiewicz means in the integral metric and related questions [Elektronische Daten] [E. S. Belinsky] 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. Copyright © Australian Mathematical Society 1998 42A24 nationallicence Marcinkiewicz means nationallicence strong summability nationallicence Bernstein inequality nationallicence Journal of the Australian Mathematical Society Cambridge University Press 65/3(1998-12), 303-312 1446-7887 65:3<303 1998 65 JAZ https://doi.org/10.1017/S1446788700035898 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700035898 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Belinsky E. S. Department of Mathematics, University of Zimbabwe, Harare, Zimbabwe e-mail: belinsky@maths.uz.ac.zw NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 65/3(1998-12), 303-312 1446-7887 65:3<303 1998 65 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge