Existence of Best Rational L∝ Approximation |
Received:September 18, 1991 |
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Abstract: |
Let Rf(p)∈Rnm[a,b] be the best rationaI Lp approximation of functionf, and let Ef(p)=‖f-Rf(p)‖p.It is shown that Ef(p)/(b-a)(1/p) is an increasing andbounded function of p. If f ∈L∞[a,b], then the best rational L∞ approximation of fexists |
Citation: |
DOI:10.3770/j.issn:1000-341X.1994.02.013 |
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