Almost Convergence and Core Theorems

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 5 in Convergence Methods for Double Sequences and Applications, 2014, pp 79-97 from Springer

Abstract: Abstract In this chapter, we define P-core, M-core, and R-cores by using the notion of Pringsheim’s convergence, almost convergence, and Riesz’s convergence of double sequences. We present various core theorems analogous to the well-known Knopp core theorem.

Keywords: Knopp core; Pringsheim’s core; M-core; Riesz core; Cesàro core; Core theorems (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_5

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DOI: 10.1007/978-81-322-1611-7_5

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