Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\varOmega } \)B(ℝd) with a given majorant of mixed moduli of continuity
- Autores: Yanchenko S.1, Stasyuk S.1
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Afiliações:
- Institute of Mathematics of the NAS of Ukraine
- Edição: Volume 235, Nº 1 (2018)
- Páginas: 103-115
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242066
- DOI: https://doi.org/10.1007/s10958-018-4062-z
- ID: 242066
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Resumo
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.
Sobre autores
Sergii Yanchenko
Institute of Mathematics of the NAS of Ukraine
Autor responsável pela correspondência
Email: Yan.Sergiy@gmail.com
Ucrânia, Kiev
Sergii Stasyuk
Institute of Mathematics of the NAS of Ukraine
Email: Yan.Sergiy@gmail.com
Ucrânia, Kiev