Geodesic
Uniform convergence of $N$-dimensional Walsh–Fourier series
U. Goginava 1
1 Department of Mechanics and Mathematics Tbilisi State University Chavchavadze St. 1, Tbilisi 0128, Georgia
Studia Mathematica, Tome 168 (2005) no. 1, pp. 1-14 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $n\to\infty$.
DOI : 10.4064/sm168-1-1
Keywords: establish conditions partial moduli continuity which guarantee uniform convergence n dimensional walsh fourier series functions class cap bigcap where uparrow infty infty

U. Goginava  1

1 Department of Mechanics and Mathematics Tbilisi State University Chavchavadze St. 1, Tbilisi 0128, Georgia 
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 $N$-dimensional {Walsh{\textendash}Fourier} series},
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 $N$-dimensional Walsh–Fourier series
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 $N$-dimensional Walsh–Fourier series
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U. Goginava. Uniform convergence of
 $N$-dimensional Walsh–Fourier series. Studia Mathematica, Tome 168 (2005) no. 1, pp. 1-14. doi: 10.4064/sm168-1-1

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