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Statistical Convergence of Double Sequences

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Convergence Methods for Double Sequences and Applications

Abstract

In this chapter, we present the notions of statistical convergence and statistical Cauchy for double sequences x=(x jk ) introduced and studied by Mursaleen and Edely (J. Math. Anal. Appl. 288:223–231, 2003). We also establish the relation between statistical convergence and strong Cesàro convergence.

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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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© 2014 Springer India

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Mursaleen, M., Mohiuddine, S.A. (2014). Statistical 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_7

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