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Nikol'skij inequalities for trigonometric polynomials in Lorentz spaces

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Publication:1057440
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zbMath0563.42001MaRDI QIDQ1057440

L. A. Sherstneva

Publication date: 1984

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)


zbMATH Keywords

Lorentz spacetrigonometric polynomialsNikol'skij type inequalities


Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)


Related Items (8)

Embeddings of Besov spaces of logarithmic smoothness ⋮ Sharp embeddings of Besov spaces with logarithmic smoothness in sub-critical cases ⋮ Approximation spaces, limiting interpolation and Besov spaces ⋮ Nikol'skii inequalities for Lorentz spaces ⋮ The ortho-diameters of Nikol'skii and Besov classes in the Lorentz spaces ⋮ Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces ⋮ Nikol'skii-type inequalities for entire functions of exponential type in Lorentz-Zygmund spaces ⋮ Nikol'skii's inequality for different metrics and properties of the sequence of norms of the Fourier sums of a function in the Lorentz space







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