A NEW STUDY ON ABSOLUTE CESÀRO SUMMABILITY FACTORS

Huseyin Bor

DOI Number
https://doi.org/10.22190/FUMI2004199B
First page
1199
Last page
1204

Abstract


In this paper, we have generalized a known theorem dealing with $\varphi-{\mid{C},\alpha,\mid}_k$ summability factors of infinite series to the $\varphi-{\mid{C},\alpha,\beta\mid}_k$ summability method under weaker conditions. Also, some new and known results are obtained.


Keywords

summability factors; infinite series; Cesàro mean; Hölder’s inequality; Minkowsk’s inequality; almost increasing sequences.

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References


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DOI: https://doi.org/10.22190/FUMI2004199B

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