Polynomial approximation of divergence-free functions

Authors:
Giovanni Sacchi Landriani and HervĂ© Vandeven

Journal:
Math. Comp. **52** (1989), 103-130

MSC:
Primary 65D15; Secondary 41A10, 65N35

DOI:
https://doi.org/10.1090/S0025-5718-1989-0971405-9

MathSciNet review:
971405

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Abstract: We study the best approximation of a divergence-free function by a divergence-free algebraic or trigonometric polynomial and we prove an optimal estimate. In a particular case we give also an optimal result for the polynomial approximation of a function and its divergence.

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DOI:
https://doi.org/10.1090/S0025-5718-1989-0971405-9

Article copyright:
© Copyright 1989
American Mathematical Society