Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces Sp
DOI:
https://doi.org/10.37863/umzh.v73i6.6432Keywords:
Kolmogorov width, Bernstein width, best approximation, generelized module of smoothness, Jackson-type inequalityAbstract
UDC 517.5
We obtain exact Jackson-type inequalities in terms of best approximations and averaged values of generalized moduli of smoothness in spaces Sp. For classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness, the Kolmogorov, Bernstein, linear, and projective widths in the spaces Sp are found.
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