Accession Number:

AD1000116

Title:

On Two Problems in the Multivariate Approximation

Descriptive Note:

Journal Article - Embargoed Full-Text

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA COLUMBIA

Personal Author(s):

Report Date:

1998-01-01

Pagination or Media Count:

10.0

Abstract:

The paper contains two theorems on approximation of functions with bounbed mixed derivative. These theorems give some progress in two old open problems. The first one gives, in particular, an upper estimate in the Bernstein Lsub 1-inequality for trigonometric polynomials on two variables with harmonics in hyperbolic crosses. The second one gives the order of the entropy numbers and Kolmogorovs widths in the L infinity-norm of the class MWr infinity,alpha of functions of two variables.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE