Inclusion Relations for General Riesz Typical Means
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 51-61

Voir la notice de l'article provenant de la source Cambridge University Press

Let α be a non-negative real number, λ≡{λ,n }(n≥0) a strictly increasing unbounded sequence with λ0≥0 and let be an arbitrary series with partial sums s≡{s n }. Write where s(t)=sn for λn<t≤λn+1 , s(t)=0 for 0≤t≤λ0. The series ∑ an or the sequence of partial sums s={sn } is summable to ṡ by the Riesz method (R, λ, α) if as ω→∞.
Jakimovski, A.; Tzimbalario, J. Inclusion Relations for General Riesz Typical Means. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 51-61. doi: 10.4153/CMB-1974-009-0
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