The Nörlund, Weighted Mean, and \((M, \lambda _{m,n})\) Methods for Double Sequences

  • P. N. Natarajan


In the context of the new definition of convergence of a double sequence and double series introduced in Chap.  5, we define the Nörlund, the Weighted Mean, and the \((M, \lambda _{m,n})\) or Natarajan methods for double sequences and double series and study some of their properties.


The Nörlund method Consistent Inclusion Equivalence The Weighted Mean method Limitation theorem The \((M, \lambda _{m, n})\) or Natarajan method 


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© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Formerly of the Department of MathematicsRamakrishna Mission Vivekananda CollegeChennaiIndia

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