41-XX
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42 41-XX | 40 | Top | 42 |
| 41-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) |
| 41-01 | Instructional exposition (textbooks, tutorial papers, etc.) |
| 41-02 | Research exposition (monographs, survey articles) |
| 41-03 | Historical (must also be assigned at least one classification number from Section 01) |
| 41-04 | Explicit machine computation and programs (not the theory of computation or programming) |
| 41-06 | Proceedings, conferences, collections, etc. |
| 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, Nikoľskii-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 |