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
Estimate for the Entropy Numbers of the Weighted Hardy Operators that Act from Banach Space to q-Banach Space
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DOI: 10.1134/s0037446619040086
Abstract: We study weighted Hardy operators from the Banach space Lp to the q-Banach space Lq and obtain estimates for the entropy numbers of one- and two-weighted Hardy operators with nonnegative measurable weight functions. read more here.
Keywords: weighted hardy; space banach; hardy operators; banach space ... See more keywords