The order of Lebesgue constant of Lagrange interpolation on several intervals

DOI10.1007/S10998-015-0106-ZzbMath1389.41006arXiv1412.3928OpenAlexW2257350281MaRDI QIDQ1677542

József Szabados, Alexey L. Lukashov

Publication date: 10 November 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3928

zbMATH Keywords

Lagrange interpolationLebesgue constantLebesgue functionpolynomial least deviating from zero

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (3)

Inverse polynomial mappings and interpolation on several intervals ⋮ Bernstein-Type Polynomials on Several Intervals ⋮ Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles

Cites Work

• Orthogonal- and Chebyshev polynomials on two intervals
• Description of extremal polynomials on several intervals and their computation. I
• A Bernstein-type inequality for derivatives of rational functions on two segments
• Estimates for derivatives of rational functions and the fourth Zolotarev problem
• Inequalities for derivatives of rational functions on several intervals
• Polynomial inverse images and polynomial inequalities

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