A new series space |N_{p}^{θ}|(μ) and matrix operators with applications

Authors

  • Fadime Gökçe Pamukkale UNiversity
  • Mehmet A. Sarıgöl Pamukkale University

Keywords:

Absolute weigted summability, matrix transformations, sequence spaces, BK-AK spaces, bounded linear operators

Abstract

The space |N_{p}^{θ}|_{k} of all series summable absolute weighted mean method has recently been introduced and studied by (Sarıgöl 2011), (Sarıgöl 2016) and (Mohapatra and Sarıgöl). In the present paper, we define a new notion of generalized absolute summability method, which includes almost known summabilities, and consruct a series space |N_{p}^{θ}|(μ) corresponding to it. Further, we show that it is a BK-space with AK and characterize certain matrix transformations on that space, and so also deduce some important results as special cases.

Author Biography

Mehmet A. Sarıgöl, Pamukkale University

Department of Mathematics

References

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Published

11-11-2018