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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2009 Volume 86, Issue 4, Pages 491–496 (Mi mzm8510)

This article is cited in 5 papers

A Theorem on Absolute Summability Factors

H. Bor

Erciyes University

Abstract: A theorem on $|\overline N,p_n|_k$-summability factors of infinite series is proved under weaker conditions. A new result concerning the $|C,1|_k$-summability factors is also obtained.

Keywords: absolute summability, summability factors, power increasing sequences, almost increasing sequence, Riesz mean, Hölder's inequality.

UDC: 517.52

Received: 01.02.2007

DOI: 10.4213/mzm8510


 English version:
Mathematical Notes, 2009, 86:4, 463–468

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