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Approximation by Max-Product Interpolation Operators

In: Approximation by Max-Product Type Operators

Author

Listed:
  • Barnabás Bede

    (DigiPen Institute of Technology, Department of Mathematics)

  • Lucian Coroianu

    (University of Oradea, Department of Mathematics and Computer Science)

  • Sorin G. Gal

    (University of Oradea, Department of Mathematics and Computer Science)

Abstract

In this chapter we study the approximation properties of the following max-product operators of interpolation type: max-product Hermite–Fejér operator on Chebyshev knots of first kind, max-product Lagrange operator on Chebyshev knots of second kind, and max-product Lagrange operator on equidistant and on general Jacobi knots. An important characteristic of the approximation error estimates obtained is that they are all of Jackson-type, thus essentially improving those obtained in approximation by the counterpart linear interpolation operators.

Suggested Citation

  • Barnabás Bede & Lucian Coroianu & Sorin G. Gal, 2016. "Approximation by Max-Product Interpolation Operators," Springer Books, in: Approximation by Max-Product Type Operators, chapter 0, pages 281-325, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-34189-7_7
    DOI: 10.1007/978-3-319-34189-7_7
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