Asymptotic formulas for Lebesgue functions corresponding to the family of Lagrange interpolation polynomials

DOI10.1134/S0001434617070124zbMath1379.41003OpenAlexW2767111401MaRDI QIDQ1688318

I. A. Shakirov

Publication date: 5 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617070124

zbMATH Keywords

error functionLagrange polynomialsasymptotic formula for a Lebesgue functionLebesgue functions and constants

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Interpolation in approximation theory (41A05)

Cites Work

• Lebesgue functions corresponding to a family of Lagrange interpolation polynomials
• The Lagrange trigonometric interpolation polynomial with the minimal norm considered as an operator from \(C_{2 \pi}\) to \(C_{2 \pi}\)
• A complete description of the Lebesgue functions for classical Lagrange interpolation polynomials
• Influence of the choice of Lagrange interpolation nodes on the exact and approximate values of the Lebesgue constants
• Optimal Lebesgue Constant for Lagrange Interpolation
• Evaluation of Lebesgue Constants
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