Special Summability Methods

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

Chapter Chapter 3 in Classical Summability Theory, 2017, pp 37-61 from Springer

Abstract: Abstract In the current chapter, we introduce some special methods of summability, viz. the Abel method, the Weighted Mean method, the Euler method and the $$(M, \lambda _n)$$ or Natarajan method, and study their properties extensively. The connection between the Abel method and the Natarajan method is brought out.

Keywords: The Weighted Mean method; Hardy; Móricz and Rhoades; The $$(M; \lambda _n)$$ or Natarajan method; Y-method; Consistent; Translative; Inclusion theorem; Equivalence theorem; The Abel method; Product theorem; The Euler method; Invertible (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-981-10-4205-8_3

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