On the partial sums of Walsh-Fourier series
Colloquium Mathematicae (2015)
- Volume: 141, Issue: 2, page 227-242
- ISSN: 0010-1354
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topGeorge Tephnadze. "On the partial sums of Walsh-Fourier series." Colloquium Mathematicae 141.2 (2015): 227-242. <http://eudml.org/doc/284199>.
@article{GeorgeTephnadze2015,
abstract = {We investigate convergence and divergence of specific subsequences of partial sums with respect to the Walsh system on martingale Hardy spaces. By using these results we obtain a relationship of the ratio of convergence of the partial sums of the Walsh series and the modulus of continuity of the martingale. These conditions are in a sense necessary and sufficient.},
author = {George Tephnadze},
journal = {Colloquium Mathematicae},
keywords = {Walsh-Fourier series; dyadic Hardy space; partial sums; modulus of continuity},
language = {eng},
number = {2},
pages = {227-242},
title = {On the partial sums of Walsh-Fourier series},
url = {http://eudml.org/doc/284199},
volume = {141},
year = {2015},
}
TY - JOUR
AU - George Tephnadze
TI - On the partial sums of Walsh-Fourier series
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 2
SP - 227
EP - 242
AB - We investigate convergence and divergence of specific subsequences of partial sums with respect to the Walsh system on martingale Hardy spaces. By using these results we obtain a relationship of the ratio of convergence of the partial sums of the Walsh series and the modulus of continuity of the martingale. These conditions are in a sense necessary and sufficient.
LA - eng
KW - Walsh-Fourier series; dyadic Hardy space; partial sums; modulus of continuity
UR - http://eudml.org/doc/284199
ER -
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