The sharp Markov-Nikol'skii inequality for algebraic polynomials in the spaces \(L q\) and \(L _{0}\) on a closed interval
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Publication:635578
DOI10.1134/S0001434608070018zbMath1219.41009OpenAlexW2116053287MaRDI QIDQ635578
Publication date: 20 August 2011
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434608070018
extremal polynomialalgebraic polynomial\(L_{0}\)\(L_{q}\)\(L_{q}\)-meangeometric mean of a polynomialmajorization principleMarkov-nikol'skii inequality
Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (8)
Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval ⋮ On constrained Markov-Nikolskii type inequalities for \(k\)-absolutely monotone polynomials ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval ⋮ Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere ⋮ Sharp Markov brothers type inequality in the spaces \(L_{p}\) and \(L_{1}\) on a closed interval ⋮ The Turán-type inequality in the space \(L_0\) on the unit interval ⋮ Constants in Markov's and Bernstein inequality on a finite interval in \(\mathbb{R}\) ⋮ Constants in V. A. Markov's inequality in \(L^p\) norms
Cites Work
- Differentiators and the geometry of polynomials.
- On some generalizations of a theorem of A. Markoff
- Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
- Concerning Polynomials on the Unit Interval
- Inequalities: theory of majorization and its applications
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