| MSC 1991 | Number of Preprints | |
| 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
| - | |
| 41-04 | Explicit machine computation and programs (not the theory of computation or programming)
| - | |
| 41-06 | Proceedings, conferences, collections, etc.
| - | |
| 41A05 | Interpolation
| 85 | browse |
| 41A10 | Approximation by polynomials
| 85 | browse |
| 41A15 | Spline approximation
| 85 | browse |
| 41A17 | Inequalities in approximation (Bernstein, Jackson, Nikolskiui type inequalities)
| 85 | browse |
| 41A20 | Approximation by rational functions
| 85 | browse |
| 41A21 | Pade approximation
| 85 | browse |
| 41A25 | Rate of convergence, degree of approximation
| 85 | browse |
| 41A27 | Inverse theorems
| 85 | browse |
| 41A28 | Simultaneous approximation
| 85 | browse |
| 41A29 | Approximation with constraints
| 85 | browse |
| 41A30 | Approximation by other special function classes
| 85 | browse |
| 41A35 | Approximation by operators (in particular, by integral operators)
| 85 | browse |
| 41A36 | Approximation by positive operators
| 85 | browse |
| 41A40 | Saturation
| 85 | browse |
| 41A44 | Best constants
| 85 | browse |
| 41A45 | Approximation by arbitrary linear expressions
| 85 | browse |
| 41A46 | Approximation by arbitrary nonlinear expressions; widths and entropy
| 85 | browse |
| 41A50 | Best approximation, Chebyshev systems
| 85 | browse |
| 41A52 | Uniqueness of best approximation
| 85 | browse |
| 41A55 | Approximate quadratures
| 85 | browse |
| 41A58 | Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
| 85 | browse |
| 41A60 | Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
| 85 | browse |
| 41A63 | Multidimensional problems (should also be assigned at least one other classification number in this section)
| 85 | browse |
| 41A65 | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
| 85 | browse |
| 41A80 | Remainders in approximation formulas
| 85 | browse |
| 41A99 | Miscellaneous topics
| 85 | browse |