Abstract

Denote by the sequence space defined by for . In a recent paper by E. Savas and H. Sevli (2007), they proved every Cesaro matrix of order , for , for . In this paper, we consider a further extension of absolute Cesaro summability.

Highlights

  • Let av denote a series with partial sums sn

  • Let σnα denote the nth term of the Cesaro mean of order α of a sequence sn ; that is, σnα

  • Let τnα denote the nth term of the Cesaro mean of order α α > −1 of the sequence nan ; that is, τnα

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Summary

Denote by Ak the sequence space defined by Ak

Sevli 2007 , they proved every Cesaro matrix of order α, for α > −1, C, α ∈ B Ak for k ≥ 1. We consider a further extension of absolute.

Introduction
The Main Results
Enα r n
Full Text
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