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Almost increasing sequence for absolute Riesz \(|\overline{N},p_n^{\alpha,\beta}|_q\) summable factor. (English) Zbl 1513.40058

Summary: In this paper, a result on absolute Riesz summability \(|\overline{N},p_n^{\alpha,\beta}|_q\) for an infinite series by Bor has been extended using more variables. Further, we develope some well known results from our main result.

MSC:

40F05 Absolute and strong summability
40D15 Convergence factors and summability factors
42A24 Summability and absolute summability of Fourier and trigonometric series
40G05 Cesàro, Euler, Nörlund and Hausdorff methods
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