Geodesic
Characteristics of Besov-Nikol'skiĭ class of functions
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 94-104
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},
     year = {2005},
     volume = {19},
     zbl = {1114.42002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a2/}
}
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%A Tikhonov,  Sergey
%T Characteristics of Besov-Nikol'skiĭ class of functions
%J Electronic transactions on numerical analysis
%D 2005
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%U 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/