Bulletin of the Australian Mathematical Society · 1990 · 18 citations · 2 references
ComputingComputer ScienceMathematicsComputational GeometryComputational MechanicsConvergence AnalysisFinite Element DiscretizationInterpolation TechniquesNumerical AnalysisNumerical IntegrationNumerical Methods For Differential EquationsBernstein PolynomialsInterpolation TheoryLagrange InterpolationPolynomial Interpolation
A quantitative version of a classical result of S.N. Bernstein concerning the divergence of Lagrange interpolation polynomials based on equidistant nodes is presented. The proof is motivated by the results of numerical computations.
2
Nature · 1916 · 2.7K citations
The Special Functions and Their Approximations
C. W. Clenshaw, Yudell L. Luke · Mathematics of Computation · 1972 · 1.5K citations