Multivariate N-Term Rational and Piecewise Polynomial Approximation

Abstract

We study nonlinear approximation in L(sub p)(all Real numbers[expn d]) (0 < p < infinity, d > 1) from {a} n-term rational functions and (b) piecewise polynomials generated by different anisotropic dyadic partitions of all Real numbers(expn d). To characterize the rates of each such piecewise polynomial approximation we introduce a family of smoothness spaces (B-spaces) which can be viewed as an anisotropic variation of Besov spaces.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA640674

Entities

People

  • Pencho Petrushev

Organizations

  • University of South Carolina

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  • Mathematics

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