Ivanov, K. G.; Saff, E. B. Nongeometric convergence of best \(L_ p\) (p\(\neq 2)\) polynomial approximants. (English) Zbl 0721.41036 Proc. Am. Math. Soc. 110, No. 2, 377-382 (1990). Summary: For an arbitrary function f analytic in the disk D: \(| z| <1\) and continuous in \(\bar D,\) we show that geometric convergence in D of best \(L_ p\) (1\(\leq p\leq \infty)\) polynomial approximants to f on C: \(| z| =1\) is assumed only when \(p=2\). Cited in 2 Documents MSC: 41A50 Best approximation, Chebyshev systems 41A10 Approximation by polynomials Keywords:least squares; \(L_ p\)-norm; convergence rates; geometric convergence PDFBibTeX XMLCite \textit{K. G. Ivanov} and \textit{E. B. Saff}, Proc. Am. Math. Soc. 110, No. 2, 377--382 (1990; Zbl 0721.41036) Full Text: DOI