Abstract
In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.
Highlights
A positive sequence is said to be almost increasing if there is a positive increasing sequence and two positive constants K and M such that Kun ≤ yn ≤ Mun
In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences
2 Known result In [, ], Bor has established the following theorem dealing with |N, pn|k summability factors of infinite series
Summary
A positive sequence (yn) is said to be almost increasing if there is a positive increasing sequence (un) and two positive constants K and M such that Kun ≤ yn ≤ Mun (see [ ]). Abstract In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences. A sequence (cn) is said to be δ-quasi-monotone, if cn → , cn > and cn ≥ –δn, where cn = cn – cn+ and δ = (δn) is a sequence of positive numbers (see [ ]).
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