## Abstract and Applied Analysis

### Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 412974, 6 pages.

Dates
First available in Project Euclid: 26 March 2014

https://projecteuclid.org/euclid.aaa/1395858508

Digital Object Identifier
doi:10.1155/2014/412974

Mathematical Reviews number (MathSciNet)
MR3166610

Zentralblatt MATH identifier
07022344

#### Citation

Mohiuddine, S. A.; Alotaibi, Abdullah. Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean. Abstr. Appl. Anal. 2014 (2014), Article ID 412974, 6 pages. doi:10.1155/2014/412974. https://projecteuclid.org/euclid.aaa/1395858508

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