Sharp integral inequalities for fractional derivatives of trigonometric polynomials

DOI10.1016/j.jat.2012.08.004zbMath1273.26008OpenAlexW2044081912MaRDI QIDQ1759364

Polina Yu. Glazyrina, Vitalii Arestov

Publication date: 20 November 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.08.004

zbMATH Keywords

Bernstein inequalityalgebraic polynomialtrigonometric polynomialSzegő inequalityderivative of fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (10)

Sharp estimates for coefficients of odd trigonometric polynomials under a one-sided constraint ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval ⋮ Szegő-Taikov inequality for conjugate polynomials ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval ⋮ Bernstein inequality for the Riesz derivative of fractional order less than unity of entire functions of exponential type ⋮ Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere ⋮ Bernstein's inequality for the Weyl derivatives of trigonometric polynomials in the space \(L_0\) ⋮ Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight ⋮ The Bernstein-Szegő inequality for fractional derivatives of trigonometric polynomials ⋮ Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant

Cites Work

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• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES
• Some Inequalities for Algebraic and Trigonometric Polynomials
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