TY - JOUR

T1 - On the absolute summability factors of infinite series involving quasi-power-increasing sequences

AU - Şevli, H.

AU - Leindler, L.

PY - 2009/3/1

Y1 - 2009/3/1

N2 - In this paper, we prove two theorems on | A |k, k ≧ 1, summability factors for an infinite series by replacing a Riesz matrix with a lower triangular matrix and using quasi-power-increasing sequences instead of almost increasing sequences. We obtain sufficient conditions for ∑ an λn to be summable | A |k, k ≧ 1, by using quasi-f-increasing sequences.

AB - In this paper, we prove two theorems on | A |k, k ≧ 1, summability factors for an infinite series by replacing a Riesz matrix with a lower triangular matrix and using quasi-power-increasing sequences instead of almost increasing sequences. We obtain sufficient conditions for ∑ an λn to be summable | A |k, k ≧ 1, by using quasi-f-increasing sequences.

KW - Absolute summability

KW - Almost increasing sequences

KW - Infinite series

KW - Lower triangular matrix

KW - Quasi-monotone sequences

KW - Summability factors

UR - http://www.scopus.com/inward/record.url?scp=58749085522&partnerID=8YFLogxK

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U2 - 10.1016/j.camwa.2008.11.007

DO - 10.1016/j.camwa.2008.11.007

M3 - Article

AN - SCOPUS:58749085522

VL - 57

SP - 702

EP - 709

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 5

ER -