A different approach for almost sequence spaces defined by a generalized weighted means

Abstract

In this study, we introduce (,), (,) and (,) sequence spaces which consisting of all the sequences whose generalized weighted-difference means are found in , and spaces utilising generalized weighted mean and-difference matrices. The-and the-duals of the spaces (,) and (,) are determined. At the same time, we have characterized the infinite matrices ((,):) and (: (,)), where is any given sequence space.

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“…In the literature, there are many papers (Altay and Başar 2002, 2006, Aydın and Başar 2004, 2006, Kara et al 2010, Demiriz and Çakan 2010, Karakaya and Şimşek 2012, Candan 2014a, Candan and Kılınç 2015, Candan and Güneş 2015, Ellidokuzoğlu and Demiriz 2016 about paranormed sequence spaces obtained by matrix domains of different infinite matrices. Also, for more details about matrix domains of infinite triangular matrices, one can see (Başar 2012, Et and Çolak 1995, Et and Başarır 1997, Candan 2014b, Kılınç and Candan 2017, Kama and Altay 2017, Kama et al 2018.…”