Basarir, Metin On some new sequence spaces and related matrix transformations. (English) Zbl 0855.40005 Indian J. Pure Appl. Math. 26, No. 10, 1003-1010 (1995). Author’s abstract: The sequence spaces \(l(p)\), \(l_\infty (p)\), \(c_0 (p)\) and \(c(p)\) were defined by Maddox, Simons and Nakano. Recently Bulut and Çakar defined the sequence space \(l(p, s)\). In this paper, our main purpose is to define and investigate the sequence spaces \(l_\infty (p, s)\), \(c_0 (p, s)\) and \(c(p, s)\) and to determine the necessary and sufficient conditions to characterize \((l_\infty (p, s), l_\infty)\), \((l_\infty (p, s), c)\), \((c(p, s), c)\), \((c_0 (p, s), c)\), \((c_0 (p, s), l_\infty (p, s))\) and \((c_0 (p, s), c_0 (q, s))\) matrices. Reviewer: J.Boos (Hagen) Cited in 2 ReviewsCited in 15 Documents MSC: 40C05 Matrix methods for summability 46A45 Sequence spaces (including Köthe sequence spaces) 40D25 Inclusion and equivalence theorems in summability theory Keywords:matrix transformations; Toeplitz-Silverman theorems; inclusion theorems; sequence spaces PDFBibTeX XMLCite \textit{M. Basarir}, Indian J. Pure Appl. Math. 26, No. 10, 1003--1010 (1995; Zbl 0855.40005)