Geodesic
Embedding theorems in constructive approximation
Sbornik. Mathematics, Tome 199 (2008) no. 9, pp. 1367-1407

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Necessary and sufficient conditions for the accuracy of embedding theorems of various function classes are obtained. The main result of the paper is a criterion for embeddings between generalized Weyl-Nikol'skiǐ and generalized Lipschitz classes. To define the Weyl-Nikol'skiǐ classes we use the concept of a $(\lambda,\beta)$-derivative, which is a generalization of the derivative in the sense of Weyl. As corollaries, estimates for the norms and moduli of smoothness of transformed Fourier series are obtained. Bibliography: 59 titles. 
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     author = {B. V. Simonov and S. Yu. Tikhonov},
     title = {Embedding theorems in constructive approximation},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2008_199_9_a2/}
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B. V. Simonov; S. Yu. Tikhonov. Embedding theorems in constructive approximation. Sbornik. Mathematics, Tome 199 (2008) no. 9, pp. 1367-1407. http://geodesic.mathdoc.fr/item/SM_2008_199_9_a2/