Leviatan, D. Monotone polynomial approximation in \(L^ p\). (English) Zbl 0688.41005 Rocky Mt. J. Math. 19, No. 1, 231-241 (1989). Summary: Jackson type estimates on the rate of approximation of monotone functions in \(L^ p[-1,1]\) by means of monotone polynomials are obtained. The estimates involve an \(L^ p\)-modulus of continuity or equivalently a Peetre functional that weights differently the behavior of the function in the middle of the interval and near the end points. MSC: 41A10 Approximation by polynomials 41A25 Rate of convergence, degree of approximation Keywords:Jackson type estimates; rate of approximation; monotone functions; monotone polynomials; \(L^ p\)-modulus of continuity; Peetre functional PDFBibTeX XMLCite \textit{D. Leviatan}, Rocky Mt. J. Math. 19, No. 1, 231--241 (1989; Zbl 0688.41005) Full Text: DOI