Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces S^p

05/12/2020

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by   Fahreddin Abdullayev, et al.

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Exact Jackson-type inequalities are obtained in terms of best approximations and averaged values of generalized moduli of smoothness in the spaces S^p. The values of Kolmogorov, Bernstein, linear, and projective widths in the spaces S^p are found for classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness.