Four-dimensional matrix of geometrically dominated double series


Patterson R. F., Savas E.

Numerical Functional Analysis and Optimization, vol.36, no.2, pp.240-247, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1080/01630563.2014.971928
  • Journal Name: Numerical Functional Analysis and Optimization
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.240-247
  • Keywords: Double sequences pringsheim limit point, P-convergent, RH-regular
  • Uşak University Affiliated: No

Abstract

The goal of this article is to present multidimensional matrix characterization of geometrically dominated double sequences. We begin this characterization with the following definition of geometrically dominated factorable double sequence space. Let G' denote a family of double complex number sequences that are dominated by a P-convergence geometric factorable double sequence, that is, This definition will be use to present the theorems similar to the following. The four-dimensional matrix is an G' - l' if and only if and Other implication will also be presented.