Geodesic
Characteristics of Besov-Nikol'skiĭ class of functions
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 94-104.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we consider functions from a Besov-Nikol'ski$$###$$ı class. We give constructive characteristics of this class. We establish criteria for a function to be in this Besov-Nikol'ski$$###$$ı class by means of conditions on its Fourier coefficients. We also discuss embedding theorems between some classes of functions.
Classification : 42A10, 42A16, 41A50, 42A32, 42A50
Keywords: moduli of smoothness, Besov-nikol'ski$$###$$ı class, best approximation, Fourier coefficients, embedding theorems 
@article{ETNA_2005__19__a2,
     author = {Tikhonov, Sergey},
     title = {Characteristics of {Besov-Nikol'ski\u{i}} class of functions},
     journal = {Electronic transactions on numerical analysis},
     pages = {94--104},
     publisher = {mathdoc},
     volume = {19},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a2/}
}
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Tikhonov, Sergey. Characteristics of Besov-Nikol'skiĭ class of functions. Electronic transactions on numerical analysis, Tome 19 (2005), pp. 94-104. http://geodesic.mathdoc.fr/item/ETNA_2005__19__a2/