| 41-XX |
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Approximations and expansions For all approximation theory in the complex domain, see~; for numerical approximation, see~65Dxx |
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41-00 |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
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41-01 |
Instructional exposition (textbooks, tutorial papers, etc.) |
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41-02 |
Research exposition (monographs, survey articles) |
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41-03 |
Historical (must also be assigned at least one classification number from Section 01) |
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41-04 |
Explicit machine computation and programs (not the theory of computation or programming) |
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41-06 |
Proceedings, conferences, collections, etc. |
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41A05 |
Interpolation [See also 42A15 and 65D05] |
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41A10 |
Approximation by polynomials For approximation by trigonometric polynomials, see 42A10 |
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41A15 |
Spline approximation |
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41A17 |
Inequalities in approximation (Bernstein, Jackson, Nikolʹskiĭ-type inequalities) |
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41A20 |
Approximation by rational functions |
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41A21 |
Padé approximation |
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41A25 |
Rate of convergence, degree of approximation |
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41A27 |
Inverse theorems |
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41A28 |
Simultaneous approximation |
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41A29 |
Approximation with constraints |
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41A30 |
Approximation by other special function classes |
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41A35 |
Approximation by operators (in particular, by integral operators) |
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41A36 |
Approximation by positive operators |
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41A40 |
Saturation |
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41A44 |
Best constants |
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41A45 |
Approximation by arbitrary linear expressions |
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41A46 |
Approximation by arbitrary nonlinear expressions; widths and entropy |
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41A50 |
Best approximation, Chebyshev systems |
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41A52 |
Uniqueness of best approximation |
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41A55 |
Approximate quadratures |
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41A58 |
Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) |
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41A60 |
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15] |
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41A63 |
Multidimensional problems (should also be assigned at least one other classification number in this section) |
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41A65 |
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) |
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41A80 |
Remainders in approximation formulas |
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41A99 |
Miscellaneous topics |
