On a quasi-interpolating Bernstein operator

• J. Szabados ^[1]
  1. [1] Alfred Renyi Institute of Mathematics

     Alfred Renyi Institute of Mathematics

     Hungría

     
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 196, Nº 1 (August 2015), 2015, págs. 1-12
• Idioma: inglés
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• Resumen

  • We consider a special case of the modification of Lagrange interpolation due to Bernstein. Compared to Lagrange interpolation, these operators interpolate at less points, but they converge for all continuous functions in case of the Chebyshev nodes. Upper and lower estimates for the rate of convergence are given, and the saturation problem is partially solved.