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41-XX Approximations and expansions {For all approximation theory in the complex domain, see~; 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   Miscellaneous topics
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