Multiplication of Strongly Summable Series
Glasgow mathematical journal, Tome 4 (1958) no. 1, pp. 29-33
Voir la notice de l'article provenant de la source Cambridge University Press
Given a series we define , by the relationsThe series is said to be summable (C, k), where k > - 1, to the sum s ifto be summable (C, - 1) to s if it converges to s and nan = o(l); to be absolutely summable (C, k), or summable | C, k, to s if it is summable (C, k) to s andand to be strongly Cesàro summable to s with order k > 0 and index p or summable [C; k, p] to s, if
Boyd, A. V. Multiplication of Strongly Summable Series. Glasgow mathematical journal, Tome 4 (1958) no. 1, pp. 29-33. doi: 10.1017/S2040618500033815
@article{10_1017_S2040618500033815,
author = {Boyd, A. V.},
title = {Multiplication of {Strongly} {Summable} {Series}},
journal = {Glasgow mathematical journal},
pages = {29--33},
year = {1958},
volume = {4},
number = {1},
doi = {10.1017/S2040618500033815},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033815/}
}
[1] 1.Hyslop, J. M., Note on the strong summability of series, Proc. Glasgow Math. Assoc., 1 (1952), 16–20. Google Scholar | DOI
[2] 2.Winn, C. E., On strong summability for any positive order, Math. Zeil., 37 (1933), 481–492. Google Scholar | DOI
Cité par Sources :