Abstract
The notion of almost convergence for ordinary (single) sequences was given by Lorentz (Acta Math. 80:167–190, 1948), and for double sequences by Moricz and Rhoades (Math. Proc. Camb. Philos. Soc. 104:283–294, 1988). In this chapter, we discuss the notion of almost convergence and almost Cauchy for double sequences. Some more related spaces for double sequences, associated sublinear functionals, and various inclusion relations are also studied.
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Mursaleen, M., Mohiuddine, S.A. (2014). Almost Convergence of Double Sequences. In: Convergence Methods for Double Sequences and Applications. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1611-7_2
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DOI: https://doi.org/10.1007/978-81-322-1611-7_2
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-1610-0
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