On the generalized absolute Cesàro summability methods. (English. Russian original) Zbl 1492.40004
Russ. Math. 65, No. 11, 29-33 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 11, 34-39 (2021).
Summary: In this paper, a theorem on \(\vert{C},\alpha\vert_k\) summability of an infinite series is generalized for the \(\varphi\)-\(\vert C,\alpha; \delta\vert_k\) summability method. Also, a known result dealing with \(\vert C,1\vert_k\) summability is given.
MSC:
| 40D15 | Convergence factors and summability factors |
| 40F05 | Absolute and strong summability |
| 40G05 | Cesàro, Euler, Nörlund and Hausdorff methods |
Keywords:
almost increasing sequences; Cesàro mean; Hölder’s inequality; Minkowski’s inequality; summability factorsReferences:
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