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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 41 | Approximations and expansions | ||
| 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 | ||
| 41-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 41-06 | Proceedings, conferences, collections, etc. | ||
| 41-99 | Approximations and expansions (not classified at a more specific level) | ||
| 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, Nikol\cprime ski\u\i-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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