Abstract

In this paper we study the problem of partial global smoothness preservation in the cases of max-product Bernstein approximation operators, max-product Hermite-Féjer interpolation operators based on the Chebyshev nodes of first kind and max-product Lagrange interpolation operators based on the Chebyshev nodes of second kind.

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.

MSC: 41A05, 41A20, 41A17

Pages:  303$-$315     

Volume  64 ,  Issue  4 ,  2012