Bernstein's inequality for the Weyl derivatives of trigonometric polynomials in the space \(L_0\)

DOI10.1134/S0001434618070271zbMath1401.42001OpenAlexW2894870133MaRDI QIDQ1991796

A. O. Leont'eva

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1134/s0001434618070271

zbMATH Keywords

logarithmic asymptoticsBernstein's inequalityWeyl derivativespace \(L_0\)

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (2)

Bernstein-Szegő inequality for the Weyl derivative of trigonometric polynomials in \(L_0\) ⋮ Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant

Cites Work

• Sharp integral inequalities for fractional derivatives of trigonometric polynomials
• The Szegö inequality for derivatives of a conjugate trigonometric polynomial in \(L_ 0\)
• On riesz-type inequalities and k-functionals related to riesz potentials in
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES
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