On the approximation by compositions of fixed multivariate functions with univariate functions

• Autorzy: Vugar E. Ismailov
• Języki publikacji: EN

Abstrakty

EN

The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.

Kategorie tematyczne

• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
• 41A30: Approximation by other special function classes
• 41A50: Best approximation, Chebyshev systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 183
• Numer: 2
• Strony: 117-126

Daty

wydano

2007

Twórcy

autor

Vugar E. Ismailov

• Mathematics and Mechanics Institute, Azerbaijan National Academy of Sciences, Az-1141, Baku, Azerbaijan

Identyfikatory

DOI

10.4064/sm183-2-2