Uniform convergence of $N$-dimensional Walsh–Fourier series
Volume 168 / 2005
Studia Mathematica 168 (2005), 1-14
MSC: Primary 42C10.
DOI: 10.4064/sm168-1-1
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 $C_{W}( I^{N}) \cap \bigcap_{i=1}^{N}BV_{i,\{p(n)\}}$, where $p( n)\uparrow \infty$ as $n\to\infty$.
