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Govil N.K. (ed.), Mohapatra R.N. (ed.), Nashed Z. (ed.) — Approximation theory: in memory of A. K. Varma
Govil N.K. (ed.), Mohapatra R.N. (ed.), Nashed Z. (ed.) — Approximation theory: in memory of A. K. Varma

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Название: Approximation theory: in memory of A. K. Varma

Авторы: Govil N.K. (ed.), Mohapatra R.N. (ed.), Nashed Z. (ed.)

Аннотация:

A collection of over 30 carefully selected papers by 45 internationally recognized mathematicians, in honor of A. K. Varma, reflecting his lifelong passion for investigating polynomials, inequalities in Lp and uniform metrics.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 517

Добавлена в каталог: 15.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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, ${C}^{\infty}$-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, ${L}^{r}$      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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