Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight

DOI10.1090/proc/12535zbMath1332.41011arXiv1405.0167OpenAlexW1635133012MaRDI QIDQ5264167

D. N. Toulyakov, Alexander I. Aptekarev, Valeriy A. Kalyagin, André Draux

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0167

zbMATH Keywords

Markov-Bernstein inequalitiesBessel functionsJacobi weight

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by rational functions (41A20) Continued fractions; complex-analytic aspects (30B70) Special classes of linear operators (47B99)

Related Items (6)

Sharp constants in weighted $L^2$-Markov inequalities ⋮ Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Average case weighted \(L_2\) Markov factors with doubling weights ⋮ Markov \(L_2\) inequality with the Gegenbauer weight ⋮ On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

Cites Work

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