More Properties of the $$(M, \lambda _n)$$ Method and Cauchy Multiplication of Certain Summable Series

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

Chapter Chapter 4 in Classical Summability Theory, 2017, pp 63-82 from Springer

Abstract: Abstract In the presentCauchy-sequence multiplication chapter, more properties of the $$(M, \lambda _n)$$ method are established. For instance, it is proved that the set $$\mathcal {M}$$ of all $$(M, \lambda _n)$$ methods is an ordered abelian semigroup and there are infinite chainsInfinite chain of $$(M, \lambda _n)$$ methods from $$\mathcal {M}$$ . A few results on the Cauchy multiplication of certain summable series are also proved.

Keywords: Radius of convergence; Symmetric product; Ordered; Abelian; Semigroup; Infinite chain; Iteration product (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_4

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DOI: 10.1007/978-981-10-4205-8_4

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