2017
Том 69
№ 9

All Issues

Approximation of Sobolev Classes by Their Sections of Finite Dimension

Konovalov V. N.

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Abstract

For Sobolev classes of periodic functions of one variable with restrictions on higher derivatives in L 2, we determine the exact orders of relative widths characterizing the best approximation of a fixed set by its sections of given dimension in the spaces L q.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 5, pp 795-805.

Citation Example: Konovalov V. N. Approximation of Sobolev Classes by Their Sections of Finite Dimension // Ukr. Mat. Zh. - 2002. - 54, № 5. - pp. 647-655.

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