Estimates for the best constant in a Markov $L_2$-inequality with the assistance of computer algebra

zbMath1474.41071arXiv1711.07398MaRDI QIDQ4994200

Rumen Uluchev, Geno Nikolov

Publication date: 17 June 2021

Full work available at URL: https://arxiv.org/abs/1711.07398

zbMATH Keywords

computer algebraLaguerre polynomialsthree-term recurrence relationMarkov-type inequalitiesNewton identities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Best constants in approximation theory (41A44)

Related Items (4)

On the extreme zeros of Jacobi polynomials ⋮ New bounds for the extreme zeros of Jacobi polynomials ⋮ Markov-type inequalities and extreme zeros of orthogonal polynomials ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

Cites Work

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• Asymptotics of the best constant in a certain Markov-type inequality
• Markov \(L_2\) inequality with the Gegenbauer weight
• Newton's Identities
• Markov $L_2$-inequality with the Laguerre weight
• On the L 2 Markov Inequality with Laguerre Weight

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