Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 132-142
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B. V. Simonov; I. E. Simonova. Estimates of quasi-norms for a certain class of double sine series. Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 132-142. http://geodesic.mathdoc.fr/item/CMA_2015_96_a8/
@article{CMA_2015_96_a8,
author = {B. V. Simonov and I. E. Simonova},
title = {Estimates of quasi-norms for a certain class of double sine series},
journal = {Contemporary Mathematics and Its Applications},
pages = {132--142},
year = {2015},
volume = {96},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMA_2015_96_a8/}
}
TY - JOUR
AU - B. V. Simonov
AU - I. E. Simonova
TI - Estimates of quasi-norms for a certain class of double sine series
JO - Contemporary Mathematics and Its Applications
PY - 2015
SP - 132
EP - 142
VL - 96
UR - http://geodesic.mathdoc.fr/item/CMA_2015_96_a8/
LA - ru
ID - CMA_2015_96_a8
ER -
%0 Journal Article
%A B. V. Simonov
%A I. E. Simonova
%T Estimates of quasi-norms for a certain class of double sine series
%J Contemporary Mathematics and Its Applications
%D 2015
%P 132-142
%V 96
%U http://geodesic.mathdoc.fr/item/CMA_2015_96_a8/
%G ru
%F CMA_2015_96_a8
It this paper, we examine the sums of double sine series with coefficients that are multiply monotonic with respect to subsequences. We obtain sufficient conditions under which these sums belong to the classes $L_p$, $0$.
