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A study on weighted mean summability. (English) Zbl 1135.40004
A general theorem on |N ¯,p n ;δ| k summability factors of infinite series is proved. Also a new result concerning the |C,1;δ| k summability factors is obtained.
MSC:
40D15Convergence factors; summability factors
40F05Absolute and strong summability
40G99Special methods of summability
References:
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[3]Bor H., On local property of |N ¯,p n ;δ| k summability of factored Fourier series, J. Math. Anal. Appl.,179 (1993), 646–649. · Zbl 0797.42005 · doi:10.1006/jmaa.1993.1375
[4]Bor H., Debnath L.,Quasi β-power increasing sequences, Int. J. Math. Math. Sci.,44 (2004), 2371–2376. · Zbl 1063.40006 · doi:10.1155/S0161171204303510
[5]Flett T. M.,Some more theorems concerning the absolute summability of Fourier series and power series, Proc. London Math. Soc.,8 (1958), 357–387. · Zbl 0109.04502 · doi:10.1112/plms/s3-8.3.357
[6]Hardy G. H.,Divergent Series, Oxford Univ. Press., Oxford, (1949).
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