caa a22 4500 386385203 CHVBK 20180307112056.0 cr unu---uuuuu 161130e198903 xx s 000 0 eng 10.1017/S0305004100067827 doi S0305004100067827 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100067827 Absolute Nörlund matrix summability of Fourier series based on inclusion theorems [Elektronische Daten] In a recent paper [39] the second author established sufficient conditions for a Nörlund matrix (N, p) to be stronger than a Cesaro matrix (C, α) of order α, for some positive α. This result was then used to show that a number of known theorems dealing with the Nörlund summability of Fourier series, or related series, can be more easily established, since the conditions placed on the Nörlund matrix imply that it is stronger than some (C, α) method, for which the summability theorem has already been established. Copyright © Cambridge Philosophical Society 1989 Kuttner B. Department of Pure Mathematics, University of Birmingham, Birmingham, B 15 2TT Rhoades B. E. Department of Mathematics, Indiana University, Bloomington, Indiana 47405, U.S.A. Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 319-333 0305-0041 105:2<319 1989 105 PSP https://doi.org/10.1017/S0305004100067827 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100067827 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuttner B. Department of Pure Mathematics, University of Birmingham, Birmingham, B 15 2TT NATIONALLICENCE 700 1- Rhoades B. E. Department of Mathematics, Indiana University, Bloomington, Indiana 47405, U.S.A NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 319-333 0305-0041 105:2<319 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge