Lorentz, G. G. Approximation of functions. 2nd ed. (English) Zbl 0643.41001 New York, N.Y.: Chelsea Publishing Company. IX, 188 p. (1986). Some errors of the first edition (1966; Zbl 0153.38901) have been corrected and a faulty result about rational approximation has been replaced by a theorem of G. Freud. The changes are minimal. Cited in 3 ReviewsCited in 104 Documents MSC: 41-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to approximations and expansions 41A10 Approximation by polynomials 41A50 Best approximation, Chebyshev systems 41A05 Interpolation in approximation theory 41A25 Rate of convergence, degree of approximation 42A10 Trigonometric approximation 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy 41A63 Multidimensional problems 41A40 Saturation in approximation theory 41A36 Approximation by positive operators Keywords:entropy; widths; algebraic polynomials; Jackson’s theorem; inverse theorem; saturation class; Bernstein polynomials Citations:Zbl 0153.38901 PDFBibTeX XML