41-XX |
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Approximations and expansions {For approximation theory in the complex domain, see 30E05, 30E10; for trigonometric approximation and interpolation, see 42A10, 42A15; for numerical approximation, see 65Dxx} |
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41Axx |
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Approximations and expansions {For approximation theory in the complex domain, see 30E05, 30E10; for trigonometric approximation and interpolation, see 42A10, 42A15; for numerical approximation, see 65Dxx} |
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41A05 |
Interpolation in approximation theory [See also 42A15, 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, Nikol'skiĭ-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 in approximation theory |
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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 in approximation theory |
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41A44 |
Best constants in approximation theory |
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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 from Section 41-XX] |
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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 |
None of the above, but in this section |