Order estimates of the \(L_q\)-norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics

DOI10.1007/s11253-018-1453-8zbMath1402.42002OpenAlexW2801086524MaRDI QIDQ1617845

H. M. Vlasyk

Publication date: 8 November 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1453-8

zbMATH Keywords

Littlewood problemexact-order estimates

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• Two extremal problems for trigonometric polynomials with a prescribed number of harmonics
• Bernstejn-Nikol'skij inequalities and estimates of the norms of Dirichlet kernels for trigonometric polynomials with respect to arbitrary harmonics
• A New Proof of a Theorem on Rearrangements
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