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Natanson I.P. — CONSTRUCTIVE FUNCTION THEORY, VOL. I. UNIFORM APPROXIMATION. |
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Предметный указатель |
172
217
5
86
vii
64
85
173
88
20
11
152
220
10
20
64
162
118
75
120
222
157
168
35
A ([a, b]) 172
Alternant, Tchebysheff 28 66
Approximation, best 20 64
Approximation, degree of 162
Approximation, mean value viii
Approximation, uniform viii
Axiom of choice, multidimensional Bolzano — Weierstrass 24
C([a, b]) vii
Condition, Abel's 93
Condition, Dini — Lipschitz 153
Condition, Lipschitz 77
Continuity, modulus of 75
Convergence 23
Convergence factors 222
density 50
Density, measure for the 118
Deviation 20 64
Deviation, least 20 64
Formula, Parseval 60
| Formula, Wallis 211
Function, analytic 172
Function, entire 173
Function, generating 42
Function, induced 120
Image point method 59
Image point of a polynomial 24 63
Inequality, Bernoulli 209
Inequality, Bernstein's, S.N. 90 133
Inequality, Cauchy's 61
Inequality, Lebesgue's 152
Inequality, Markoff's, A.A. 141
Inequality, Markoff's, W.A. 141
Integral, de la Vallee-Poussin 10
Integral, Dirichlet 151
Integral, Fejer 158
Integral, Jackson's 83 107
L(p) 21
L(T) 58
Lip 11
m(P) 2
m(t) 62
n!! 9
Norm of a polynomial 21 62
Ordinals of a trigonometric polynomial 14
Orthogonal with a density 51
Polynomial of the best approximation 20 65
Polynomial of the least deviation 20 65
Polynomial, Bernstein 5
Polynomial, image point of the 24 63
Polynomial, norm of a 21 62
Polynomial, quasinorm of the 21 62
Polynomial, Tchebysheff 38
Quasinorm of the polynomial 21 62
Series, Fourier 142
Series, trigonometric 142
Sums, Bernstein — Rorogosinsky's 217
Sums, de la Vallee—Poussin's 167
Sums, Fejer 157
Sums, partial - of a Fourier series 149
System of functions, complete 143
w 79
Z 106
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