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

Manifold Berman 

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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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