Dans ce papier, l’auteur a vérifié un théorème concernant sommabilité des facteurs de séries de Fourier, qui généralisent un de ses théorèmes précédents (paru dans Rivista di Matematica).
@article{AIF_1968__18_2_17_0,
author = {Singh Niranjan},
title = {On the absolute {Ces\'aro} summability of factors of {Fourier} series},
journal = {Annales de l'Institut Fourier},
pages = {17--30},
year = {1968},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {18},
number = {2},
doi = {10.5802/aif.290},
zbl = {0183.06102},
mrnumber = {39 #7350},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.290/}
}
TY - JOUR AU - Singh Niranjan TI - On the absolute Cesáro summability of factors of Fourier series JO - Annales de l'Institut Fourier PY - 1968 SP - 17 EP - 30 VL - 18 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.290/ DO - 10.5802/aif.290 LA - en ID - AIF_1968__18_2_17_0 ER -
%0 Journal Article %A Singh Niranjan %T On the absolute Cesáro summability of factors of Fourier series %J Annales de l'Institut Fourier %D 1968 %P 17-30 %V 18 %N 2 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.290/ %R 10.5802/aif.290 %G en %F AIF_1968__18_2_17_0
Singh Niranjan. On the absolute Cesáro summability of factors of Fourier series. Annales de l'Institut Fourier, Tome 18 (1968) no. 2, pp. 17-30. doi: 10.5802/aif.290
[1] , On the absolute Cesàro summability factors of a Fourier series, Jour. Indian Math. Soc., 26 (1962), 141-165. | Zbl
[2] and , Some remarks on convergence and summability factors, J. London Math. Soc., 32 (1957), 73-82. | Zbl | MR
[3] , Summability factors of Fourier series, Duke Math. Jour., 15 (1948), 17-27. | Zbl | MR
[4] , On the absolute summability factors of a Fourier series and its conjugate series, Bull. Calcutta Math. Soc. Supplement, 1958 (1960), 42-53. | Zbl | MR
[5] and , Notes on Fourier Analysis III : Absolute summability, Proc. Imperial Academy (Tokyo), 14 (1938), 32-35. | Zbl | JFM
[6] , Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. des Sc. Math. (2), 49 (1925), 234-256. | JFM
[7] , Sommation des séries et intégrales divergentes par les moyennes arithmétiques, Mémorial des Sc. Math., No. 51 (1931). | Zbl | JFM | Numdam
[8] , Summability factors of infinite series, Duke Math. J., 21 (1954), 271-284. | Zbl | MR
[9] , On the absolute Riesz summability of Fourier series and its conjugate series, Trans. American Math. Soc., 76 (1954), 351-374. | Zbl | MR
[10] , On an unsolved problem in the theory of absolute summability factors of Fourier series, M.Z., 82 (1963), 106-114. | Zbl | MR
[11] and , On the absolute summability factors of Fourier series, Indian J. Math., 1 (1958), 41-54. | Zbl | MR
[12] , On the summability of Fourier series and the bounded variation of power series, Proc. London Math. Soc. (2), 35 (1933), 407-424. | JFM
[13] , Strong summability of Fourier series and the series conjugate, to it, Proc. of National Inst. Sc. (India) Allahabad, 27 (1958), 45-74.
[14] , On the absolute Cesàro Summability factors of Fourier series (to appear in Rivista di Matematica). | Zbl
Cité par Sources :



