Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean. (22nd December 2013)

• Record Type: Journal Article
• Authors: Mohiuddine, S. A.; Alotaibi, Abdullah
• Other Names: Mursaleen Mohammad Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2013-12-22
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/412974
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The purpose of this paper is to generalize the concept of almost convergence for double sequence through the notion of de la Vallée-Poussin mean for double sequences. We also define and characterize the generalized regularly almost conservative and almost coercive four-dimensional matrices. Further, we characterize the infinite matrices which transform the sequence belonging to the space of absolutely convergent double series into the space of generalized almost convergence.