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Almost Convergence of Double Sequences

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Book cover Convergence Methods for Double Sequences and Applications

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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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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

    M. Mursaleen

  2. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    S. A. Mohiuddine

Authors
  1. M. Mursaleen
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  2. S. A. Mohiuddine
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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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