Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 243-252
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X. Z. Krasniqi; X. Z. Krasniqi. On integrability conditions of functions related to the formal trigonometric series belonging to Orlicz space. Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 243-252. http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a8/
@article{AMUC_2013_82_2_a8,
author = {X. Z. Krasniqi and X. Z. Krasniqi},
title = { On integrability conditions of functions related to the formal trigonometric series belonging to {Orlicz} space},
journal = {Acta mathematica Universitatis Comenianae},
pages = {243--252},
year = {2013},
volume = {82},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a8/}
}
TY - JOUR
AU - X. Z. Krasniqi
AU - X. Z. Krasniqi
TI - On integrability conditions of functions related to the formal trigonometric series belonging to Orlicz space
JO - Acta mathematica Universitatis Comenianae
PY - 2013
SP - 243
EP - 252
VL - 82
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a8/
ID - AMUC_2013_82_2_a8
ER -
%0 Journal Article
%A X. Z. Krasniqi
%A X. Z. Krasniqi
%T On integrability conditions of functions related to the formal trigonometric series belonging to Orlicz space
%J Acta mathematica Universitatis Comenianae
%D 2013
%P 243-252
%V 82
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a8/
%F AMUC_2013_82_2_a8
In this paper we have introduced a new class of numerical sequences named as Mean Rest Bounded Variation Sequence of second order. This class is used to show some integrability conditions of the functions sin xg(x) and sin xf(x) such that these functions belong to the Orlicz space, where g(x) and f(x) denote formal sine and cosine trigonometric series, respectively. This study may be taken as an continuati on of some recent foregoing results proved by L. Leindler and S. Tikhonov
