Absolute Almost Convergence and Riesz Convergence

M. Mursaleen and S. A. Mohiuddine
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M. Mursaleen: Aligarh Muslim University, Department of Mathematics
S. A. Mohiuddine: King Abdulaziz University, Department of Mathematics

Chapter Chapter 4 in Convergence Methods for Double Sequences and Applications, 2014, pp 63-77 from Springer

Abstract: Abstract In this chapter, we define the notion of almost bounded variation and absolute almost convergence for double sequences. We use the definition of absolute almost convergence to define absolute almost conservative and absolute almost regular matrices and find necessary and sufficient conditions to characterize these matrices.

Keywords: Almost bounded variation; Absolute almost convergence; Absolutely almost conservative matrices; Absolutely almost regular matrices; Riesz convergence; Matrix transformations (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1611-7_4

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DOI: 10.1007/978-81-322-1611-7_4

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