Generalization of some absolute summability methods
Mazhar (1971) gave the characterization for the series ∑anϵn to be summable |N,pn| whenever ∑an is summable |C,α|k, α≥0, k≥1. Here we prove two theorems, the first concerns the sufficient conditions and the second the necessary conditions satisfied by {ϵn} in order to have ∑anϵn summable |N¯,pn|k wh...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120100309X |