Widths of the classes Bp,θΩ$$ {B}_{p,\theta}^{\varOmega } $$ of periodic functions of many variables in the space B1,1
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DOI: 10.1007/s10958-018-4056-x
Abstract: We have obtained the exact-by-order estimates of Kolmogorov, linear, and trigonometric widths of the classes Bp,θΩ$$ {B}_{p,\theta}^{\varOmega } $$ of periodic functions of many variables in the space B1,1 the norm in which is stronger… read more here.
Keywords: classes theta; varomega periodic; theta varomega; periodic functions ... See more keywords
Entropy Numbers and Widths for the Classes Bp,θr$$ {B}_{p,\theta}^r $$ of Periodic Functions of Many Variables
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DOI: 10.1007/s11253-017-1315-9
Abstract: We establish the exact-order estimates for the entropy numbers of the Nikol’skii–Besov classes of periodic functions of two variables in the space L∞ and use the obtained results to estimate the lower bounds for the… read more here.
Keywords: entropy numbers; classes theta; periodic functions; many variables ... See more keywords