The Bernstein-Szegő inequality for fractional derivatives of trigonometric polynomials

DOI10.1134/S0081543815020030zbMath1332.26033MaRDI QIDQ2516590

Polina Yu. Glazyrina, Vitalii Arestov

Publication date: 3 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bernstein inequalitytrigonometric polynomialSzegő inequalityWeyl fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (6)

Bernstein-Szegő inequality for the Weyl derivative of trigonometric polynomials in \(L_0\) ⋮ On the constants in abstract inverse theorems of approximation theory ⋮ Bernstein inequality for the Riesz derivative of fractional order less than unity of entire functions of exponential type ⋮ On constants in the Bernstein-Szegő inequality for the Weyl derivative of order less than unity of trigonometric polynomials and entire functions of exponential type in the uniform norm ⋮ POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS ⋮ Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant

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