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Almost Convergence and Core Theorems

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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.

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Mursaleen, M., Mohiuddine, S.A. (2014). Almost Convergence and Core Theorems. In: Convergence Methods for Double Sequences and Applications. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1611-7_5

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