Geodesic
Uniform convergence of $N$-dimensional Walsh–Fourier series
U. Goginava1
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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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