### Abstract

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 ∑ a_{n} λ_{n} to be summable | A |_{k}, k ≧ 1, by using quasi-f-increasing sequences.

Original language | English |
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Pages (from-to) | 702-709 |

Number of pages | 8 |

Journal | Computers and Mathematics with Applications |

Volume | 57 |

Issue number | 5 |

DOIs | |

Publication status | Published - Mar 2009 |

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### Keywords

- Absolute summability
- Almost increasing sequences
- Infinite series
- Lower triangular matrix
- Quasi-monotone sequences
- Summability factors

### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Modelling and Simulation
- Computational Mathematics

### Cite this

**On the absolute summability factors of infinite series involving quasi-power-increasing sequences.** / Şevli, H.; Leindler, L.

Research output: Contribution to journal › Article

*Computers and Mathematics with Applications*, vol. 57, no. 5, pp. 702-709. https://doi.org/10.1016/j.camwa.2008.11.007

}

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

Y1 - 2009/3

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

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

U2 - 10.1016/j.camwa.2008.11.007

DO - 10.1016/j.camwa.2008.11.007

M3 - Article

VL - 57

SP - 702

EP - 709

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 5

ER -