Convergence field of Abel’s summation method

Letavaj, Peter

doi:10.2478/s12175-012-0027-8

Mathematica Slovaca

2012

DOI: 10.2478/s12175-012-0027-8

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Convergence field of Abel’s summation method

Peter Letavaj

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2015

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The Family F of Permutations of ℕ

Wituła

2015

Mathematica Slovaca

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The paper is sacrificed to discussing the property of some special subfamily F of the family of all permutations of ℕ, especially in the context of the fundamental properties of families C and D of the, so called, convergent and divergent permutations, in other words, permutations preserving or not preserving the convergence of the rearranged real series, respectively. Family F is the subgroup of the group G generated by C. In the paper we will prove, among others, that F ⊂ C

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The Family F of Permutations of ℕ

Wituła

2015

Mathematica Slovaca

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Convergence field of Abel’s summation method

Cited by 1 publication

References 1 publication

The Family F of Permutations of ℕ

The Family F of Permutations of ℕ

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