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Govil N.K. (ed.), Mohapatra R.N. (ed.), Nashed Z. (ed.) — Approximation theory: in memory of A. K. Varma |
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Предметный указатель |
Algorithm, de Casteljau 197 158
Algorithm, swapping 285
Analytic 261
Approximant, Hermite — Pade 384
Approximant, Pade 363
Approximant, simultaneous rational 386
Approximate 25 29 30 31
Approximation, Bernstein 205
Approximation, best 99
Approximation, best parametric 97
Approximation, Muntz — Szasz type 129
Approximation, Pade 363
Approximation, parametric 97
Approximation, pointwise 186
Approximation, polynomial 453
Approximation, probabilistic wavelet 60
Approximation, rational 257 363
Approximation, wavelet type 43
Approximators, Pade 370
B-splines 253
Basis, B-splines 288
Basis, Bernstein 158
Basis, local 276
Basis, Riesz 133
Basis, Schauder 133
Bernstein — Bezier net representation 266
Bernstein — Bezier representation 197
Bernstein — Durrmeyer operator 158
Bernstein — Erdos characterization 343
Bernstein — Erdos conditions 344
Bernstein, S.N., inequality 76
Bernstein, S.N., polynomial 91 203 267
Bieberbach conjecture 234
BSzier nets 280
Budan — Fourier theorem 499
Cauchy theorem 106
Chebyshev, monomials 302 306 310
Chebyshev, nodes 293
Chebyshev, polynomials 91 405 415 449
Cheney, E.W. 130 341
Clunie, J.G. 181
Computer aided geometric design 266
Convex data 216
Convex interpolant 216
Convex, logarithmically 184
Convex, strictly 183 185
Convolution 210 478
Daubechies, I. 218
de Branges theorem 234
de Casteljau algorithm 158 197
de la Vallee Poussin, means 400
de la Vallee Poussin, operator 395 400
Density estimation, nonparametric 157
Density estimation, nonparametric polynomial 166
Descartes' rule of sign 499
Dimitrov inequality 82
Equiconvergence 293 295 323 327
Erdoes, P. 257 345 425 426
Estimator, polynomial 162
Estimator, polynomial density 162
Estimator, spline density 162
Extremal problems 405 407 433
Faber nodes 293
Frame, overcomplete 134
Frame, tight 134
Function, analytic 123
Function, bounded 227
Function, conditionally positive definite 149
Function, continuous 189
Function, continuously differentiable 438
Function, convex 183 216
Function, convex continuous 58
Function, convex univalent 225
Function, cummulative distribution 87
Function, D-continuous 502
Function, decreasing 189
Function, density 87
Function, dyadic 338
Function, embedding 503
Function, entire 181 466
Function, faliure rate 87
Function, Freud's weight 423
Function, Gamma 445
Function, Green 451
Function, hazard rate 87
Function, Holder continuous 219
Function, hypergeometric 238
Function, infinitely differentiable 340
Function, Lebesgue 344 350
Function, Lebesgue measurable 47
Function, normalized convex univalent 225
Function, rational 255 256
Function, reliability 87
Function, Schilit 486
Function, starlike 477
Function, strictly positive definite 141
Function, strongly starlike 486
Function, univalent 225 477 478
Gagenbauer polynomial 142
Gauss, C.F., quadrature 97
Gauss, C.F., quadrature formula 107 294 471
Green function 451
Hadamard product 230 478
Herglotz formula 483
Hermite interpolant 293 295 298 323
Increasing 187
Inequality, Bernstein 76
Inequality, Bernstein — Markov 257
Inequality, Cauchy — Schawarz 472
Inequality, Chebyshev 353
Inequality, differential 82
Inequality, Diminitrov 82
Inequality, error 14 18
Inequality, Jackson 458
Inequality, Kolmogrov type 80
Inequality, Kristensen — Bojanov 79
Inequality, Labelle 82
Inequality, Marcinkiewicz — Zygmund type 389
Inequality, Markov 75 440 449
Inequality, Markov type 411
Inequality, Markov — Bernstein type 405
Inequality, Remez type 115 118
Inequality, Schur 76
Inequality, triangle 184 188
Inequality, Turan 360 434
Inequality, Turan type 433
Inequality, Varma 82
Inequality, Zygmund 77
Interpolant, Hermite 293 295 323
Interpolant, Lagrange 294 301
Interpolate, Lidstone 15 16
Interpolate, Lidstone-spline 25
Interpolate, multivariate polynomial 144
Interpolation, (0,2) 167
Interpolation, (0,2,3) 179
Interpolation, (0,3) 173
Interpolation, Birkhoff 179
Interpolation, Birkhoff type 167
Interpolation, exponential 209
Interpolation, Hermite 293 295
Interpolation, Hermite Birkhoff 179
Interpolation, lacunary 167 168
Interpolation, Lagrange 62
Interpolation, Lidstone 1
Interpolation, Lidstone-spline 2 18 31
Interpolation, local cubic 218
Interpolation, local polynomial 209
Interpolation, mean 97
Interpolation, Pal type 176
Interpolation, piecewise-Lidstone 14 38
| Interpolation, polynomial 143 212
Interpolation, rational 220
Interpolation, weighted 344
Interpolation, weighted Lagrange 491
Inversive 256
Jacobi, C.G.J. 62
Jacobi, C.G.J., polynomial 62
Jacobi, C.G.J., weights 343 397 490
Jittery on left 336
Jittery on right 336
Joukowski transformation 356
Kristensen — Bojanov inequality 77
Labelle inequalities 82
Lagrange interpolation formula 456
Laguerre — Polya class 182
Lax, P.D. 257
Lebesgue measure 184
Lidstone, G.J., boundary value problems 9
Lidstone, G.J., conditions 1
Lidstone, G.J., interpolating polynomial 1 9
Lidstone, G.J., interpolation 1
Lidstone, G.J., polynomial 2
Lidstone-spline interpolation 2 18 31
Lorentz, G.G., class 428
Lorentz, G.G., degree of a polynomial 94
Majorants, circular 412
Majorants, curved 411
Majorants, parabolic 413
Manifold, -Riemannian 151
Manifold, Riemannian 201
Mapping, strip 232
Mapping, wedge 232
Markov, A., chain 210
Markov, A., exponent 459
Markov, A., inequality 75
Markov, A., set 450
Matrix interpolatory 491
Matrix Jacobi 444
Matrix nonsingular 349
Matrix one-bounded 244
Matrix p-restricted 244 245
Matrix stochastic 244 252
Matrix strongly p-restricted 244 245
Matrix totally positive 243
Matrix Vandermonde 382
Maximum modulus 255
Maximum Modulus Principle 256 261
Maximum modulus principle for unbounded domain 259
Mean interpolation by splines 111
Mean, arithmetic 199 222
Mean, geometric 199 223
Mean, harmonic 199 222
Mean, nonlinear 197
Measure, complex equilibrium 83
Measure, generalized Lebesgue 417
Measure, Lebesgue 394
Measure, linear Lebesgue 364
Measure, positive Lebesgue 118 120 121
Modulus of continuity 490
Monomials 302 306 310
Muentz, C., polynomial 118 119
Muentz, C., theorem 115 116
Multivariate splines 265 266
Nehari class 225 226 228
Nets 266
Nodes, Chebyshev 283
Nodes, Faber 293
Nodes, generalized, jacobi 489
Nodes, Jacobi 489
Nonlinear 197 209
Norm, 405 407
Norm, Chebyshev 255
Norm, mixed 414
Norm, uniform 405 433
Operator, Bernstein — Durrmeyer 158
Operator, de la Vallee Poussin 395 400
Operator, de la Vallee type 397
Operator, differentiation 500
Operator, generalized differentiation 500
Operator, wavelet type 51
Perturbation 213
Poles 255 256
Polya — Schoenberg conjecture 486
Polynomials, algebraic 255 257 405 413
Polynomials, Bernouli 3
Polynomials, Bernstein 91 108 157 203 267
Polynomials, bivariate 271
Polynomials, Chebyshev 91 293 294 405 449
Polynomials, classical orthogonal 70
Polynomials, Euler 4
Polynomials, Gagenbauer 142
Polynomials, Hermite 62 71 408
Polynomials, Jacobi 62 408
Polynomials, lacunary Miintz 115 118
Polynomials, Lagrange interpolation 65 295 456 457
Polynomials, Laguerre 71 408
Polynomials, Legendre 235 470
Polynomials, Lidstone 3
Polynomials, Lidstone-interpolating 7
Polynomials, monic 353
Polynomials, Muntz 115 118
Polynomials, nonnegative 417
Polynomials, orthonormal 440 493
Polynomials, rational 220
Polynomials, real 414
Polynomials, Rogers — Szego 372
Polynomials, trigonometric 257 389 439
Polynomials, ultraspherical 61
Quadrature formula 294
Regular 459
Representation, Bernstein — Bezier 197
Representation, Bernstein — Bezier net 266
Riesz basis 133
Rivlin, T.J. 130 257 262 335
Rotation invariant 482
Schauder basis 133
Schur inequality 76
Schwarz — Christoffel representation 233
Schwarz — Pick Lemma 229 236
Schwarzian derivative 226
Self-inversive 256
Semianalytic 450
Spheres, interpolation on 147
Spheres, multidimensional 147
Splines, B-splines 253
Splines, multivariate 265—266
Subanalytic 451
Subordination 226 478
Systems, canonical complete Thebycheff 500
Systems, complete-Tchebycheff 502
Systems, exponential 87
Systems, extended Tchebycheff 108 109
Systems, generalized extended complete Tchebycheff 503
Systems, generalized extended Tchebycheff 499
Systems, linear 474
Systems, Markov 502 506
Systems, monic orthogonal 468 475
Systems, normalized weak Markov 511
Systems, strictly totally positive 511
Systems, Tchebycheff 108 109
Systems, weak Markov 511
Systems, weak Tchebysheff 113
Szegoe, G. 61
Tchebycheff polynomial 79
Toeplitz determinant 365
Turan, P., extremal problems 433
Turan, P., inequality 360 434
Turan, P., problem 412
Unit disk 487
Varma inequality 82
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