Geodesic
Widths of some functional classes in the space $L_2$ on a period
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 42-47

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In a space of periodic functions with mean-square norm, we find the values of widths for some functional classes given by means of a modulus of continuity generated by an arbitrary difference operator and a weight function.
Keywords: Jackson inequality; generalized modulus of continuity; widths of functional classes. 
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     author = {S. N. Vasil'ev},
     title = {Widths of some functional classes in the space $L_2$ on a period},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {42--47},
     publisher = {mathdoc},
     volume = {19},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a4/}
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S. N. Vasil'ev. Widths of some functional classes in the space $L_2$ on a period. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 42-47. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a4/