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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… Click to show full 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 Kolmogorov, linear, and trigonometric widths. We also study the behavior of similar asymptotic characteristics of the classes Bp,θr$$ {B}_{p,\theta}^r $$ of periodic functions of many variables in the spaces L1 and B1,1.
Keywords:
entropy numbers;
classes theta;
periodic functions;
many variables;
theta periodic;
functions many
Journal Title: Ukrainian Mathematical Journal
Year Published: 2017
Link to full text (if available)
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Journal Title: Ukrainian Mathematical Journal
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!