|
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}
|
|
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
[See also
42A15
and
65D05]
|
|
41A10
|
Approximation by polynomials
{For approximation by trigonometric polynomials, see
42A10}
|
|
41A15
|
Spline approximation
|
|
41A17
|
Inequalities in approximation (Bernstein, Jackson, Nikol'ski\u\i-type inequalities)
|
|
41A20
|
Approximation by rational functions
|
|
41A21
|
Pad\'e 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.)
[See also
30E15]
|
|
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
|