Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\varOmega } \)B(ℝd) with a given majorant of mixed moduli of continuity
- Authors: Yanchenko S.Y.1, Stasyuk S.A.1
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Affiliations:
- Institute of Mathematics of the NAS of Ukraine
- Issue: Vol 235, No 1 (2018)
- Pages: 103-115
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242066
- DOI: https://doi.org/10.1007/s10958-018-4062-z
- ID: 242066
Cite item
Abstract
We obtain the exact-by-order estimates of the approximation of functions from the classes \( {S}_{p,\theta}^{\varOmega } \)B(ℝd) in the space Lq(ℝd), 1 < p < q < ∞, by entire functions of the exponential type with supports of their Fourier transforms in sets generated by the level surfaces of a function Ω.
About the authors
Sergii Ya. Yanchenko
Institute of Mathematics of the NAS of Ukraine
Author for correspondence.
Email: Yan.Sergiy@gmail.com
Ukraine, Kiev
Sergii A. Stasyuk
Institute of Mathematics of the NAS of Ukraine
Email: Yan.Sergiy@gmail.com
Ukraine, Kiev