A new theorem on generalized absolute Cesàro summability factors. (English) Zbl 1499.40065
Summary: In this paper, we have proved a new theorem dealing with \(\varphi - |C, \alpha|_k\) summability factors of infinite series under weaker conditions. Also, some new and known results are obtained.
MSC:
40D15 | Convergence factors and summability factors |
26D15 | Inequalities for sums, series and integrals |
40F05 | Absolute and strong summability |
40G05 | Cesàro, Euler, Nörlund and Hausdorff methods |
Keywords:
Cesàro mean; absolute summability; almost increasing sequence; quasi-\(\sigma \)-power increasing sequence; infinite series; Hölder’s inequality; Minkowski’s inequalityReferences:
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