On absolute summability factors for $|\overline{N}, p_n|_k$ summability
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 435-439
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In this paper a theorem on $|\overline{N}, p_n|_k$ summability factors, which generalizes a theorem of Mishra and Srivastava [MS] on $[C,1]_k$ summability factors, has been proved.
In this paper a theorem on $|\overline{N}, p_n|_k$ summability factors, which generalizes a theorem of Mishra and Srivastava [MS] on $[C,1]_k$ summability factors, has been proved.
Classification :
40D15, 40F05, 40G05, 40G99
Keywords: absolute summability; summability factors; infinite series
Keywords: absolute summability; summability factors; infinite series
@article{CMUC_1991_32_3_a4,
author = {Bor, H\"useyin},
title = {On absolute summability factors for $|\overline{N}, p_n|_k$ summability},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {435--439},
year = {1991},
volume = {32},
number = {3},
mrnumber = {1159791},
zbl = {0745.40005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a4/}
}
Bor, Hüseyin. On absolute summability factors for $|\overline{N}, p_n|_k$ summability. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 435-439. http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a4/
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[F] Flett T.M.: On an extension of absolute summability and some theorems of Littlewood and Paley. Proc. London Math. Soc. 7 (1957), 113-141. | MR | Zbl
[H] Hardy G.H.: Divergent Series. Oxford, 1949. | MR | Zbl
[MS] Mishra K.N., Srivastava R.S.L.: On absolute Cesàro summability factors of infinite series. Portugaliae Math. 42 (1), (1983-1984), 53-61. | MR | Zbl