Uniform convergence of N-dimensional Walsh-Fourier series

U. Goginava. "Uniform convergence of N-dimensional Walsh-Fourier series." Studia Mathematica 168.1 (2005): 1-14. <http://eudml.org/doc/285081>.

@article{U2005,
abstract = {We establish conditions on the partial moduli of continuity which guarantee uniform convergence of the N-dimensional Walsh-Fourier series of functions f from the class $C_\{W\}(I^\{N\}) ∩ ⋂_\{i=1\}^\{N\} BV_\{i,\{p(n)\}\}$, where p(n)↑ ∞ as n → ∞.},
author = {U. Goginava},
journal = {Studia Mathematica},
keywords = {multi-dimensional Walsh-Fourier series; uniform convergence; modulus of continuity},
language = {eng},
number = {1},
pages = {1-14},
title = {Uniform convergence of N-dimensional Walsh-Fourier series},
url = {http://eudml.org/doc/285081},
volume = {168},
year = {2005},
}

TY - JOUR
AU - U. Goginava
TI - Uniform convergence of N-dimensional Walsh-Fourier series
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 1
SP - 1
EP - 14
AB - We establish conditions on the partial moduli of continuity which guarantee uniform convergence of the N-dimensional Walsh-Fourier series of functions f from the class $C_{W}(I^{N}) ∩ ⋂_{i=1}^{N} BV_{i,{p(n)}}$, where p(n)↑ ∞ as n → ∞.
LA - eng
KW - multi-dimensional Walsh-Fourier series; uniform convergence; modulus of continuity
UR - http://eudml.org/doc/285081
ER -