Asymptotic expansion of the Lebesgue constant for even-order Hermite-Fejér interpolation on Chebyshev nodes

DOI10.1016/J.JMAA.2024.128618zbMATH Open1548.41031MaRDI QIDQ6612198

Ramesh Kumar Muthumalai

Publication date: 30 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionintegral representationHermite-Fejér interpolationremainder termChebyshev nodesLebesgue constant

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Interpolation in approximation theory (41A05)

Cites Work

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• Über Interpolation.

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