Inclusion Relations for General Riesz Typical Means
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 51-61
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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
@article{10_4153_CMB_1974_009_0,
author = {Jakimovski, A. and Tzimbalario, J.},
title = {Inclusion {Relations} for {General} {Riesz} {Typical} {Means}},
journal = {Canadian mathematical bulletin},
pages = {51--61},
year = {1974},
volume = {17},
number = {1},
doi = {10.4153/CMB-1974-009-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-009-0/}
}
TY - JOUR AU - Jakimovski, A. AU - Tzimbalario, J. TI - Inclusion Relations for General Riesz Typical Means JO - Canadian mathematical bulletin PY - 1974 SP - 51 EP - 61 VL - 17 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-009-0/ DO - 10.4153/CMB-1974-009-0 ID - 10_4153_CMB_1974_009_0 ER -
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