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arXiv · 2005.05597

Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces ${\mathcal S}^p$

Fahreddin Abdullayev·Anatolii Serdyuk·Andrii Shidlich
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Abstract

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

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Fahreddin Abdullayev, Anatolii Serdyuk, Andrii Shidlich. 2020-05-12. Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces ${\mathcal S}^p$. https://arxiv.org/abs/2005.05597

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