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Mathematics Subject Classification – MSC2010

Approximations and expansions [For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx] 53512

41Axx

41A05

Interpolation [See also 42A15 and 65D05] 7948

41A10

Approximation by polynomials [For approximation by trigonometric polynomials, see 42A10] 6899

41A15

Spline approximation 7158

41A17

Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities) 2475

41A20

Approximation by rational functions 3020

41A21

Padé approximation 1950

41A25

Rate of convergence, degree of approximation 6138

41A27

Inverse theorems 361

41A28

Simultaneous approximation 758

41A29

Approximation with constraints 772

41A30

Approximation by other special function classes 3601

41A35

Approximation by operators (in particular, by integral operators) 2767

41A36

Approximation by positive operators 3632

41A40

Saturation 401

41A44

Best constants 442

41A45

Approximation by arbitrary linear expressions 692

41A46

Approximation by arbitrary nonlinear expressions; widths and entropy 1298

41A50

Best approximation, Chebyshev systems 6364

41A52

Uniqueness of best approximation 441

41A55

Approximate quadratures 5378

41A58

Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) 1401

41A60

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15] 3244

41A63

Multidimensional problems (should also be assigned at least one other classification number in this section) 4479

41A65

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 5915

41A80

Remainders in approximation formulas 405

41A99

None of the above, but in this section 407

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cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

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Mathematics Subject Classification – MSC2010

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