Global smoothness preservation by some nonlinear max-product operators

Authors

  • Lucian Coroianu University of Oradea, Department of Mathematics and Computer Science, Str. Universitatii 1, 410087 Oradea, Romania Author
  • Sorin G. Gal University of Oradea, Department of Mathematics and Computer Science, Str. Universitatii 1, 410087 Oradea, Romania Author

Keywords:

Max-product Bernstein approximation operator, max-product Hermite-Féjer interpolation operator, max-product Lagrange interpolation operator, Chebyshev nodes of the first and second kind, global smoothness preservation

Subjects:

41A05, 41A20, 41A17

Abstract

In this paper we study the problem of partialglobal smoothness preservation in the cases of max-productBernstein approximation operators, max-product Hermite-Féjerinterpolation operators based on the Chebyshev nodes of first kindand max-product Lagrange interpolation operators based on theChebyshev nodes of second kind.

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Published

2012-10-15

Issue

Vol. 64 No. 4 (2012): Vol. 64, Issue 4

Section

Articles

License

Copyright (c) 2012 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.