The best approximations and widths of the classes of periodical functions of one and several variables in the space B∞,1
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 1
Abstract
We obtained exact-order estimates of the best approximations of classes BΩ∞,θ of periodic functions of many variables and for classes Bωp,θ,1≤p≤∞ of functions of one variable by trigonometric polynomials with corresponding spectra of harmonics in the metric of space B∞,1. We also found exact orders for the Kolmogorov, linear and trigonometric widths of the same classes in space B∞,1.
Authors and Affiliations
M. V. Hembarskyi, S. B. Hembarska, K. V. Solich
Keywords
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- EP ID EP584902
- DOI 10.15330/ms.51.1.74-85
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