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On orders of approximation functions of generalized mixed smoothness in Lorentz spacesстатья
- Автор: Akishev G.
- Журнал: Sarajevo Journal of Mathematics
- Том: 15
- Номер: 2
- Год издания: 2019
- Первая страница: 81
- Последняя страница: 96
- DOI: 10.5644/SJM.15.01.08
- Аннотация: We consider the Lorentz space with mixed norm of periodic functions of many variables and Nikol'skii -- Besov type classes of the generalized mixed smoothness. We have obtained estimates of the best approximation by trigonometric polynomials with the harmonics from the hyperbolic crosses of functions from Nikol'skii-Besov's type classes of the generalized mixed smoothness in the Lorentz space with the mixed norm.
- Добавил в систему: Акишев Габдолла