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Global Smoothness Preservation by Algebraic Interpolation Operators

  • George A. Anastassiou
  • Sorin G. Gal

Abstract

Let {Ln(f)}n be a sequence of approximation algebraic operators, applied to a non-periodic function f ∈ C[a, b]. When {Ln(f)}n does not preserve the global smoothness of f,a natural question arises: how much of the global smoothness of f is preserved by {L n (f)} n ?

Keywords

Lagrange Interpolation Interpolation Operator Algebraic Polynomial Lebesgue Function Partial Preservation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • George A. Anastassiou
    • 1
  • Sorin G. Gal
    • 2
  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA
  2. 2.Department of MathematicsUniversity of OradeaOradeaRomania

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