Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\varOmega } \)B(ℝd) with a given majorant of mixed moduli of continuity
- Авторы: Yanchenko S.1, Stasyuk S.1
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Учреждения:
- Institute of Mathematics of the NAS of Ukraine
- Выпуск: Том 235, № 1 (2018)
- Страницы: 103-115
- Раздел: 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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Аннотация
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.
Об авторах
Sergii Yanchenko
Institute of Mathematics of the NAS of Ukraine
Автор, ответственный за переписку.
Email: Yan.Sergiy@gmail.com
Украина, Kiev
Sergii Stasyuk
Institute of Mathematics of the NAS of Ukraine
Email: Yan.Sergiy@gmail.com
Украина, Kiev