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Zeitschrift für Analysis und ihre Anwendungen

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Volume 15, Issue 2, 1996, pp. 545–549
DOI: 10.4171/ZAA/714

Published online: 1996-06-30

On Absolute Summability Factors

H. Bor[1]

(1) Erciyes University, Kayseri, Turkey

By using for $\delta ≥ 0$ so-called $|\bar{N}, p_n; \delta |_k$-boundedness of series $\sum^{\infty}_{n=1} a_n$ and sequences $(\lambda _n)^{\infty}_{n=1}$ we prove $| \bar{N}, p_n; \delta |_k$-summability of the series $\sum^{\infty}_{n=1} a_n \lambda _n$. This result generalizes a known one related to $|\bar{N}, p_n |_k$-summability of series.

Keywords: Absolute summability of series, summability factors, infinite series

Bor H.: On Absolute Summability Factors. Z. Anal. Anwend. 15 (1996), 545-549. doi: 10.4171/ZAA/714