Geodesic
The embedding and approximation of classes of functions with a~dominant mixed difference
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 83-86

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We obtain a criterion for embedding the class $SH_p^\Omega$ into that $SB_{q,\theta}^{\Omega^*}$ ($1$). We also determine the exact order of the best approximations of functions from classes $SB_{p,\theta}^\Omega$ by trigonometric polynomials whose harmonics belong to sets generated by level surfaces of the majorant $\Lambda(t)$.
Mots-clés : Besov's spases
Keywords: embedding theorem, modulus of continuity, best approximations. 
@article{IVM_2009_8_a10,
     author = {M. B. Sikhov},
     title = {The embedding and approximation of classes of functions with a~dominant mixed difference},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {83--86},
     publisher = {mathdoc},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_8_a10/}
}
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M. B. Sikhov. The embedding and approximation of classes of functions with a~dominant mixed difference. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 83-86. http://geodesic.mathdoc.fr/item/IVM_2009_8_a10/