A Survey on Lagrange Interpolation Based on Equally Spaced Nodes

  • Michael Revers
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 142)


Lagrange interpolation polynomials based on the equidistant node system have not been a popular subject in approximation theory. This is due to some famous examples published by C. Runge in 1901 and later by S.N. Bernstein in 1918 which discouraged mathematicians from considering this method of interpolation. This paper provides a brief survey of Lagrange interpolation polynomials which are based on equidistant nodes including recent results on pointwise divergence properties and certain limit relations.


Approximation Theory Lagrange Interpolation Lebesgue Constant Interpolation Node Lagrange Interpolation Polynomial 
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Copyright information

© Birkhäuser Verlag Basel 2002

Authors and Affiliations

  • Michael Revers
    • 1
  1. 1.Department of MathematicsUniversity of SalzburgSalzburgAustria

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