General Summability Factor Theorems and Applications
DOI:
https://doi.org/10.5644/SJM.01.1.07Keywords:
summability, weighted mean matrix, Cesáro matrixsummability factor, summability factorAbstract
We obtain sufficient and (different) necessary conditions for the series $\sum a_{n}$, which is absolutely summable of order $k$ by a triangular matrix method $A$, to be such that $\sum a_{n}\lambda_n$ is absolutely summable of order $k$ by a triangular matrix $B$. As corollaries we obtain a number of inclusion theorems.
2000 Mathematics Subject Classification. Primary: 40G99; Secondary: 40G05, 40D15
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References
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