Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces (Q2305190)
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| English | Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces |
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Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces (English)
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10 March 2020
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Summary: Nikol'skii-type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus \(\boldsymbol{T}^d\) for the Lorentz-Zygmund spaces, are obtained. The results of a previous paper ``Nikol'skii inequalities for Lorentz-Zygmund spaces'' are extended. Applications to approximation spaces in Lorentz-Zygmund spaces and to Besov spaces are given.
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