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Zbl 0932.40006
Mazhar, S.M.
Absolute summability factors of infinite series. (English)
[J] Kyungpook Math. J. 39, No.1, 67-73 (1999). ISSN 1225-6951

{\it H. Bor} [On absolute summability factors, Proc. Am. Math. Soc. 118, No. 1, 71-75 (1993; Zbl 0784.40003)] proved the $|\overline N,p_n|_k$, $k\ge 1$ summability of the series $\sum a_n\lambda_n$ under certain conditions which extends the previous result of Mazhar on the $|C,1|_k$, $k\ge 1$ summability of $\sum a_n\lambda_n$; see {\it S. M. Mazhar} [Indian J. Math. 14, 45-48 (1972; Zbl 0253.42008)]. In the present paper Mazhar proves the $|\overline N,p_n|_k$, $k\ge 1$ summability of $\sum a_n\lambda_n$ which generalizes the above-mentioned result of H. Bor.
[I.L.Sukla (Orissa)]

MSC 2000:: *40F05 Special cases of summability
40D15 Convergence factors and summability factors
40D25 Inclusion theorems, etc.

Keywords: summability factors; series

Citations: Zbl 0784.40003; Zbl 0253.42008

Cited in: Zbl 1121.40009 Zbl 1100.40005 Zbl 1063.40006 Zbl 1041.40002 Zbl 1062.40008

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