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

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Classical Summability Theory
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Abstract

In the present 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 chains of \((M, \lambda _n)\) methods from \(\mathcal {M}\). A few results on the Cauchy multiplication of certain summable series are also proved.

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Correspondence to P. N. Natarajan .

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Natarajan, P.N. (2017). More Properties of the \((M, \lambda _n)\) Method and Cauchy Multiplication of Certain Summable Series. In: Classical Summability Theory. Springer, Singapore. https://doi.org/10.1007/978-981-10-4205-8_4

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