Bernstein-Szegő inequality for the Riesz derivative of trigonometric polynomials in $L_p$-spaces, $0\leqslant p\leqslant\infty$, with classical value of the sharp constant

DOI10.4213/SM9822EzbMath1523.42002OpenAlexW4386902363MaRDI QIDQ6057105

A. O. Leont'eva

Publication date: 4 October 2023

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sm9822

zbMATH Keywords

Riesz derivativetrigonometric polynomial\(L_0\) spaceBernstein-Szegő inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05)

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Bernstein inequality for the Riesz derivative of fractional order less than unity of entire functions of exponential type

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