Uniform convergence of N-dimensional Walsh-Fourier series

U. Goginava

U. Goginava

Studia Mathematica, Tome 166 (2005), p. 1-14 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $C_{W} (I^{N}) \cap ⋂_{i = 1}^{N} B V_{i, p (n)}$ , where p(n)↑ ∞ as n → ∞.

Publié le : 2005-01-01

Zbl 1078.42019

EUDML-ID : urn:eudml:doc:285081

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     title = {Uniform convergence of N-dimensional Walsh-Fourier series},
     journal = {Studia Mathematica},
     volume = {166},
     year = {2005},
     pages = {1-14},
     zbl = {1078.42019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-1-1}
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U. Goginava. Uniform convergence of N-dimensional Walsh-Fourier series. Studia Mathematica, Tome 166 (2005) pp. 1-14. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-1-1/