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Mathematics Subject Classification – MSC2020

Approximations and expansions {For approximation theory in the complex domain, see 30E05, 30E10; for trigonometric approximation and interpolation, see 42A10, 42A15; for numerical approximation, see 65Dxx} 54933

41Axx

41A05

Interpolation in approximation theory [See also 42A15, 65D05] 8104

41A10

Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10} 7075

41A15

Spline approximation 7281

41A17

Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities) 2586

41A20

Approximation by rational functions 3065

41A21

Padé approximation 2007

41A25

Rate of convergence, degree of approximation 6417

41A27

Inverse theorems in approximation theory 371

41A28

Simultaneous approximation 768

41A29

Approximation with constraints 789

41A30

Approximation by other special function classes 3714

41A35

Approximation by operators (in particular, by integral operators) 2852

41A36

Approximation by positive operators 3825

41A40

Saturation in approximation theory 404

41A44

Best constants in approximation theory 465

41A45

Approximation by arbitrary linear expressions 702

41A46

Approximation by arbitrary nonlinear expressions; widths and entropy 1334

41A50

Best approximation, Chebyshev systems 6462

41A52

Uniqueness of best approximation 444

41A55

Approximate quadratures 5441

41A58

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) 1456

41A60

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15] 3356

41A63

Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX) 4584

41A65

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 6014

41A80

Remainders in approximation formulas 414

41A81

Weighted approximation 10

41A99

None of the above, but in this section 416

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Information and communication theory, circuits

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any	anywhere
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 – MSC2020

Overview