Math Problems Vault
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Analysis
Approximation theory
[
337
/
72%
]
Subtopics
Trigonometric polynomials
[
123
/
80%
]
Extremal problems for polynomials and trigonometric polynomials
[
43
/
88%
]
Best approximation in normed spaces
[
34
/
50%
]
Representations of nonnegative polynomials
[
33
/
88%
]
Numerical quadrature by standard rules (trapezoidal, Simpson, Cotes, Chebyshev, Gauss)
[
18
/
100%
]
Finite-difference interpolation formulas (Newton-Gregory, Gauss, Bessel)
[
15
/
100%
]
Approximation by piecewise linear functions
[
14
/
29%
]
Chebyshev (Descartes) systems and total positivity
[
13
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100%
]
Completeness of systems of functions
[
11
/
36%
]
Inequalities for trigonometric polynomials
[
11
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100%
]
Deriving and analyzing Gauss-type quadrature formulas
[
10
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0%
]
Runge's theorem
[
8
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0%
]
Bernstein and Markov inequalities for polynomials
[
6
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100%
]
Best uniform (Chebyshev) approximation
[
6
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100%
]
Bernstein's inequality
[
5
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100%
]
Korovkin's theorem
[
5
/
80%
]
Lagrange interpolation from tabulated values
[
5
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100%
]
Muntz-Szasz theorem
[
5
/
20%
]
B-splines
[
4
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100%
]
Mergelyan's theorem
[
3
/
0%
]
Steklov averages
[
3
/
33%
]
Least-squares fitting of a line or low-degree polynomial to tabulated points
[
2
/
100%
]
Degree of polynomial approximation of entire functions
[
1
/
0%
]