Approximation from sparse grids and function spaces of dominating mixed smoothness

• Autorzy: Winfried Sickel
• Języki publikacji: EN

Abstrakty

EN

We investigate the convergence and the rate of convergence in $||·|L_p||$, 1 < p < ∞, of a bivariate interpolating (with respect to a sparse grid) trigonometric polynomial in the framework of Sobolev spaces of dominating mixed smoothness.

Kategorie tematyczne

• 42B99: None of the above, but in this section
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 271-283

Daty

wydano

2006

Twórcy

autor

Winfried Sickel

• Mathematisches Institut, F.-Schiller-Universität Jena, D-07743 Jena, Germany

Identyfikatory

DOI

10.4064/bc72-0-18