Abstract

Bor (1985, 1986) gave a relation between the two summability methods | C , 1 | k {\left | {C,1} \right |_k} and | N ¯ , p n | k |\overline N ,{p_n}{|_k} of a series Σ a n \Sigma a_n . These two methods are known to be independent. Generalizing the case, here we introduce relations between the two summability methods | C , α | k {\left | {C,\alpha } \right |_k} and | N ¯ , p n | k |\overline N ,{p_n}{|_k} using multipliers sequence { ε n } \left \{ {{\varepsilon _n}} \right \} .

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