Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 13-18
Citer cet article
I. I. Volkov. Relation between summability and absolute summability by Cesàro means of complex order. Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 13-18. http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a1/
@article{MZM_1971_9_1_a1,
author = {I. I. Volkov},
title = {Relation between summability and absolute summability by {Ces\`aro} means of complex order},
journal = {Matemati\v{c}eskie zametki},
pages = {13--18},
year = {1971},
volume = {9},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a1/}
}
TY - JOUR
AU - I. I. Volkov
TI - Relation between summability and absolute summability by Cesàro means of complex order
JO - Matematičeskie zametki
PY - 1971
SP - 13
EP - 18
VL - 9
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a1/
LA - ru
ID - MZM_1971_9_1_a1
ER -
%0 Journal Article
%A I. I. Volkov
%T Relation between summability and absolute summability by Cesàro means of complex order
%J Matematičeskie zametki
%D 1971
%P 13-18
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a1/
%G ru
%F MZM_1971_9_1_a1
It is proved that if a series is absolute summable by a Cesàro $(C,\alpha)$ method, then it is summable $(C,\beta)$ for any $\beta$, such that $\mathrm{Re}\,\alpha=\mathrm{Re}\,\beta>-1$.
