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

P. N. Natarajan ()
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P. N. Natarajan: Ramakrishna Mission Vivekananda College, Formerly of the Department of Mathematics

Chapter Chapter 6 in Classical Summability Theory, 2017, pp 101-128 from Springer

Abstract: Abstract 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.

Keywords: The Nörlund method; Consistent; Inclusion; Equivalence; The Weighted Mean method; Limitation theorem; The $$(M; \lambda _{m; n})$$ or Natarajan method (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-4205-8_6

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DOI: 10.1007/978-981-10-4205-8_6

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