# Search and Browse the MSC 2000

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41-XX
Approximations and expansions {For all approximation theory in the complex domain, see 30Exx, 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42Axx, 42A10 and 42A15; for numerical approximation, see 65Dxx} → ZMATH

41-00
General reference works (handbooks, dictionaries, bibliographies, etc.) → ZMATH

41-01
Instructional exposition (textbooks, tutorial papers, etc.) → ZMATH

41-02
Research exposition (monographs, survey articles) → ZMATH

41-03
Historical (must also be assigned at least one classification number from Section 01) → ZMATH

41-04
Explicit machine computation and programs (not the theory of computation or programming) → ZMATH

41-06
Proceedings, conferences, collections, etc. → ZMATH

41A10
Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10} → ZMATH

41A15
Spline approximation → ZMATH

41A17
Inequalities in approximation (Bernstein, Jackson, Nikol\cprime ski\u\i-type inequalities) → ZMATH

41A20
Approximation by rational functions → ZMATH

41A21
PadÃ© approximation → ZMATH

41A25
Rate of convergence, degree of approximation → ZMATH

41A27
Inverse theorems → ZMATH

41A28
Simultaneous approximation → ZMATH

41A29
Approximation with constraints → ZMATH

41A30
Approximation by other special function classes → ZMATH

41A35
Approximation by operators (in particular, by integral operators) → ZMATH

41A36
Approximation by positive operators → ZMATH

41A40
Saturation → ZMATH

41A44
Best constants → ZMATH

41A45
Approximation by arbitrary linear expressions → ZMATH

41A46
Approximation by arbitrary nonlinear expressions; widths and entropy → ZMATH

41A50
Best approximation, Chebyshev systems → ZMATH

41A52
Uniqueness of best approximation → ZMATH

41A55
Approximate quadratures → ZMATH

41A58
Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) → ZMATH

41A60
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15] → ZMATH

41A63
Multidimensional problems (should also be assigned at least one other classification number in this section) → ZMATH

41A65
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) → ZMATH

41A80
Remainders in approximation formulas → ZMATH

41A99
Miscellaneous topics → ZMATH