On the Gibbs phenomenon for $\left( {K,1} \right)$ means
Kazuo Ishiguro
Source: Proc. Japan Acad. Volume 41, Number 7
(1965), 558-561.
First Page:
Show
Hide
Primary Subjects:
42.20
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1195522339
Mathematical Reviews number (MathSciNet): MR0194842
Zentralblatt MATH identifier: 0145.07001
Digital Object Identifier: doi:10.3792/pja/1195522339
References
[1] G. H. Hardy: Divergent Series. Oxford (1949).
Mathematical Reviews (MathSciNet): MR30620
Zentralblatt MATH: 0032.05801
[2] G. H. Hardy and W. W. Rogosinski: Notes on Fourier series (V). Summability (JBi). Proc. Cambridge Phil. Soc, 45, 173-185 (1949).
Mathematical Reviews (MathSciNet): MR28979
Zentralblatt MATH: 0033.26303
Digital Object Identifier: doi:10.1017/S0305004100024695
[3] K. Ishiguro: On the summability method (Y). Proc. Japan Acad., 40, 482-486 (1964).
Mathematical Reviews (MathSciNet): MR173114
Zentralblatt MATH: 0135.26301
Digital Object Identifier: doi:10.3792/pja/1195522679
Project Euclid: euclid.pja/1195522679
[4] B. Kuttner: Some relations between different kinds of Riemann summability. Proc. London Math. Soc, 40, 524-540 (1936).
[5] Ching-Hsi Lee: On the Gibbs phenomenon for the Riemann summation (R, 1) of Fourier series. Acta Math. Sinica, 6, 418-425 (1956).
Mathematical Reviews (MathSciNet): MR98270
Zentralblatt MATH: 0075.05401
[6] Szasz: Tauberian theorems for summability (JRi). Amer. Jour. Math., 73, 779-791 (1951).
Mathematical Reviews (MathSciNet): MR44652
Zentralblatt MATH: 0043.28604
Digital Object Identifier: doi:10.2307/2372117
JSTOR: links.jstor.org
[7] Szasz: Introduction to the Theory of Divergent Series. Cincinnati (1952).
Mathematical Reviews (MathSciNet): MR46455
Zentralblatt MATH: 0060.15609
[8] K. Zeller: Theorie der Limitierungsverfahren. Springer (1958).
Mathematical Reviews (MathSciNet): MR118990
Zentralblatt MATH: 0085.04603
[9] A. Zygmund: On certain methods of summability associated with conjugate trigonometric series. Studia Math., 10, 97-103 (1948).
Mathematical Reviews (MathSciNet): MR25592
Zentralblatt MATH: 0038.21901
Proceedings of the Japan Academy
