Spaces of Series Summable by Absolute Cesí ro and Matrix Operators

Authors

  • Mehmet Ali Sarıgöl Pamukkale University

DOI:

https://doi.org/10.26713/cma.v7i1.360

Keywords:

Summability factors, matrix transformations, sequence spaces, Cesí ro spaces

Abstract

In this paper giving some algebraic and topological properties of \(|C_\alpha|_k\), we characterize the classes of all infinite matrices \((|C_\alpha|,|C_\delta|_k)\) and \((|C_\alpha|_k,|C_\delta|)\) for \(\alpha,\delta>-1\) and \(k\ge 1\), show that each element of this classes correspond to a continuous linear mapping, which also enables us to extend some well known results of Flett [7], Orhan and Sarigol [15], Bosanquet [2], Mehdi [13], Mazhar [11], and Sarigol [18], where \(|C_\alpha|_k\) is the space of series summable by absolute Cesaro summability \(|C,\alpha|_k\) in Flett's notation.

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Published

15-06-2016
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How to Cite

Sarıgöl, M. A. (2016). Spaces of Series Summable by Absolute Cesí ro and Matrix Operators. Communications in Mathematics and Applications, 7(1), 11–22. https://doi.org/10.26713/cma.v7i1.360

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Section

Research Article