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< | 41-XX | >
 41-XX Approximations and expansions {For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx} 41Axx Approximations and expansions {For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx} 41A05 Interpolation [See also 42A15 and 65D05] 41A10 Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10} 41A15 Spline approximation 41A17 Inequalities in approximation (Bernstein, Jackson, Nikolʹskiĭ-type inequalities) 41A20 Approximation by rational functions 41A21 Padé approximation 41A25 Rate of convergence, degree of approximation 41A27 Inverse theorems 41A28 Simultaneous approximation 41A29 Approximation with constraints 41A30 Approximation by other special function classes 41A35 Approximation by operators (in particular, by integral operators) 41A36 Approximation by positive operators 41A40 Saturation 41A44 Best constants 41A45 Approximation by arbitrary linear expressions 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy 41A50 Best approximation, Chebyshev systems 41A52 Uniqueness of best approximation 41A55 Approximate quadratures 41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15] 41A63 Multidimensional problems (should also be assigned at least one other classification number in this section) 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 41A80 Remainders in approximation formulas 41A99 None of the above, but in this section
< | 41-XX | >

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