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41-XX - 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 (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
41A10 - Approximation by polynomials
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.)
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
42A15 - Trigonometric interpolation
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