Capobianco, M. R.; Themistoclakis, W. On the boundedness of de la Vallée Poussin operators. (English) Zbl 1090.41501 East J. Approx. 7, No. 4, 417-444 (2001); corrigendum ibid. 13, No. 2, 223-226 (2007). Summary: The authors state an interesting pointwise estimate of the de la Vallée Poussin kernels corresponding to Jacobi weights. Consequently sufficient conditions are given in order that the de la Vallée Poussin operator is uniformly bounded in the \(L^p\) weighted spaces with \(1\leq p\leq\infty\). Discrete de la Vallée Poussin operators are also investigated. Cited in 1 ReviewCited in 6 Documents MSC: 41A10 Approximation by polynomials 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Keywords:de la Vallée Poussin means; Jacobi polynomials; Besov spaces PDFBibTeX XMLCite \textit{M. R. Capobianco} and \textit{W. Themistoclakis}, East J. Approx. 7, No. 4, 417--444 (2001; Zbl 1090.41501)