## A matrix application on absolute weighted arithmetic mean summability factors of infinite series.(English)Zbl 1440.40005

A result of H. Bor [Int. J. Anal. Appl. 14, No. 2, 175–179 (2017; Zbl 1384.40004)] regarding $$\left\vert A;\theta _{n}\right\vert _{k}$$ summability of infinite series is generalized and improved by application of almost increasing sequences in place of positive non-decreasing ones. Also, some new and known results are obtained as corollaries.

### MSC:

 40D15 Convergence factors and summability factors 26D15 Inequalities for sums, series and integrals 40F05 Absolute and strong summability 40G99 Special methods of summability 42A24 Summability and absolute summability of Fourier and trigonometric series 46A45 Sequence spaces (including Köthe sequence spaces)

Zbl 1384.40004
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### References:

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