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Order equalities in different metrics for moduli of smoothness of various orders
Niyazi A. Il'yasov Baku State University, Baku, AZ 1148, Azerbaijan
Аннотация:
IIn this paper, we obtain order equalities for the $k$th order $L_{q}(T)$-moduli of smoothness $\omega_{k}(f;\delta)_{q}$ in terms of expressions that contain the $l$th order $L_{p}(T)$-moduli of smoothness $\omega_{ l }(f;\delta)_{p}$ on the class of periodic functions $f\in L_{p}(T)$ with monotonically decreasing Fourier coefficients, where $1<p<q<\infty,$ $k,l \in \mathbb{N},$ and $T=(-\pi,\pi].$
Ключевые слова:
Inequalities of different metrics for moduli of smoothness, Order equality, Trigonometric Fourier series with monotone coefficients.
Образец цитирования:
Niyazi A. Il'yasov, “Order equalities in different metrics for moduli of smoothness of various orders”, Ural Math. J., 4:2 (2018), 24–32
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj60 https://www.mathnet.ru/rus/umj/v4/i2/p24
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Страница аннотации: | 346 | PDF полного текста: | 174 | Список литературы: | 55 |
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