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| Milovanovic G.V., Mitrinovic D.S., Rassias T.M. — Topics in Polynomials: Extremal Problems, Inequalities, Zeros |
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Название: Topics in Polynomials: Extremal Problems, Inequalities, Zeros
Авторы: Milovanovic G.V., Mitrinovic D.S., Rassias T.M.
Язык: 
Рубрика: Математика/
Статус предметного указателя: Готов указатель с номерами страниц
ed2k:
Год издания: 1994
Количество страниц: 300
Добавлена в каталог: 04.05.2008
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| Предметный указатель |
Classical orthogonal polynomials, differentiation formula for 46
Classical orthogonal polynomials, discriminant of 65
Classical orthogonal polynomials, Gegenbauer 39
Classical orthogonal polynomials, generalized Laguerre 38
Classical orthogonal polynomials, generating function of 41
Classical orthogonal polynomials, Hermite 38
Classical orthogonal polynomials, Jacobi 37
Classical orthogonal polynomials, leading coefficient of 40
Classical orthogonal polynomials, Legendre 39
Classical orthogonal polynomials, monic 45
Classical orthogonal polynomials, norm of 40
Classical orthogonal polynomials, Rodrigues’ type formula of 39
Classical orthogonal polynomials, standard Lauguerre 39
Classical orthogonal polynomials, three-term recurrence relation of 45
Classical orthogonal polynomials, weight of 38
Clausen, T. 370
Clausen’s formula 370
Closed contour 39
Coffman, C.V. 516 710
Cohen, G.L. 217 225 226 285
Cohen, P. 89 165 517
Cohn, A. 18 77 245 285
Coincidence theorem 197
Coincidence theorem of Walsh 199
Collatz, L. 524
Colucci, A. 120 165
Compact cube 567
Compact family of functions 221
Completely monotonic function 355
Complex ’weight function’ 37
Composite norm 742
Condition apolarity 187
Condition Lipschitz 138
Conic section 196
Conjecture Bernstein 749
Conjecture Bieberbach 371
Conjecture Bl.Sendov 217
Conjecture Erdoes 454
Conjecture Goodman — Rahman — Ratti 222
Conjecture Ratti 228
Conjecture Ratti — Schmeisser 222
Conjecture Sendov — Ilieff 216
Conjecture Varga and Carpenter 756
Conjugate polynomial 147
Connected components 75
Constant, absolute 149
Constant, Bernstein 752
Constant, Catalan 554
Constant, Lebesgue 300
Constant, Nikol’skii 505
Constantinescu, F. 99 165
Constrained Chebyshev polynomials 477
Contracted zeros 487
Control net 772
Control points 759
Control polygon 759
Convex function 101
Convex function in Jensen sense 103
Convex hull 180
Convex hull, property 764
Convex programing 743
Convolution of analytic functions 693
Coolidge, J.L. 178 285
Coordinate vector 463
Cordova, A. 471 510
Cosinus polynomial 309
Cosinus sum 308
Cost initial 742
Cost total 742
Counterexample 200
Covering theorems 371
Cowling, V.F. 96 165
Craven, T. 206 208 210 211 212 285 286
Criterion of proximity 741
Critical points of a polynomial 179
Crstici, B. 349 350 376
Csordas, G. 206 208 210 211 212 285 286
Cubic root of unity 12
Cubic root, branches of 13
Curve Besier 759
Curve Lagrange interpolating 771
Curve Polya 766
Curved majorants 546
Dankovic, B. 773 778
Darboux, G. 34 357 727
Datt, B. 253 286 680 703
Daugavet, I.K. 595 596 597 619 703 704
Dawood, Q.M. 442 507 686 701
de Boer, F. 180 284
de Branges, L. xii 301 371 374 375 378
de Bruijn, N.G. 113 114 116 118 124 164 181 182 186 197 199 268 284 449 509 531 587 675 698 701 703
de Bruin, M.G. 272 284
de Casteljau algorithm 765
de Casteljau algorithm, geometric interpretation 767
de Casteljau, P.F. 759 765 766 767 770 771 775
de Fermat, P. 6
de La Vallee Poussin, C. 532 720 780
De Vore, R.A. 160 165 769 770 774
Degree elevation formula 762 768
Degree of homogeneity 3
Degree of polynomial 1
Degree raising formula 768
Degree total 3
Dehesa, J.S. 80
del Ferro, S. 5
Delia Vecchia, B. 771 773 775 778
Derivative logarithmic 100
Derivative polar 184
Descartes, R. 94 761
Descartes’ law of signs 761
Determining set 560
Dewan, K.K. 253 274 281 282 283 286 451 510 698 699 704
Dickson, L.E. 5 14 61 77
Dieudonne, J. 96 165 219 246 248 286
Differential operator of Jacobi 613
Differential operator of Legendre 612
Differential operator, Markov inequality for 612
Differentiation formula for Bernstein polynomials 769
Differentiation formula two term 767
Dilcher, K. 49 77 94 96 100 165 205 206 207 272 286
Dimov, I. 713
Dimovski, I. 134 166
Directional derivatives 560
Directrix 196
Dirichlet kernel 148
Dirichlet polynomial 481
Dirichlet polynomial of a given length 481
Dirichlet, P.G.L. vi 148 152 153 168 311 375 481 482 496
Discriminant of a cubic polynomial 62
Discriminant of a general trinomial 62
Discriminant of a polynomial 61
Discriminant of a quadratic polynomial 62
Discriminant of the classical orthogonal polynomials 65
Discriminant of the generalized Laguerre polynomials 67
Discriminant of the Hermite polynomials 67
Discriminant of the Jacobi polynomials 67
Discriminant, determinant form of 61
Disk lower half 271
Disk of Jensen 206
Disk upper half 271
Disquisitiones Arithmeticae 6
distribution 32
Distribution binomial 766
Distribution of the continuous charge 476
Distribution of the contracted zeros 487
Distribution Ullman 485
Dixon, J.D. 85 166
Djordjevic, Dj.R. 773 778
Djordjevic, G. 42 81
Djordjevic, R.Z. xiii 614 651 652 704 713
| Doerfler, P. 571 578 704
Dokovic, D. 376
Donaldson, J.D. 457 459 510
Dougall,J. 74 77
Drasin, D. 374 375
Draux, A. 76 81
Dual functional 765
Dubuque, A. 748 776
Duffin, R.J. viii 448 510 531 536 537 541 542 545 546 704 717 718 723
Dummit, D.S. 5 15 16 77
Duncan, R.L. 130 131 166
Durand, A. 528 704
Duren, P. 374 375
Dzafarov, Ar.S. 498 514 613 705
Dzyadyk, V.K. 392 393 510 528 546 704
Echols, W.H. 181 286
Egervary, E. 69 77 154 155 162 166 272 286 464 511
Eigenvalue maximal 463
Eigenvalue minimal 463
Eigenvector 463
Einstein, A. 78
Elbert, A. 111 166 389 390 511
Electrostatics problem 476
Elementary symmetric functions 53
Elementary symmetric functions, explicit formula of 56
Elementary symmetric polynomials 53
Elementary symmetric polynomials, explicit formula of 56
Elements of Euclid 6
Elevation formula 768
Elevation formula, two term degree 768
Eliminant of polynomials 60
Elkins, J.M 752
ellipse 96
Ellipse, foci of 196
Elliptic functions 407
Enestroem — Kakeya annulus 275
Enestroem — Kakeya theorem 272
Enestrom, G. vii xii 272 274 275 283 286 287 288 290 381
Enforced convergence to zero 472
Entire functions 178
Equal Ripple theorem 387
Equation, cubic 9
Equation, cyclotomic 6
Equation, functional 49
Equation, Gegenbauer 621
Equation, positive root of 68
Equation, quadratic 9
Equation, quartic 11
Equation, quintic 15
Equilibrium points 217
Equioscillation property 392 485
Erdelyi, A. 44 76 734 774
Erdelyi, T. 29 30 77 440 441 507 509 511 630 632 634 635 636 637 638 639 702 705
Erdoes conjecture on the longest polynomial 601
Erdoes type weights 494
Erdoes — Lax theorem 450 675
Erdoes, P. 90 112 118 133 134 137 166 168 170 172 278 279 287 405 450 454 494 496 511 515 516 517 521 601 612 625 628 630 632 634 653 658 659 675 696 697 700 701 702 703 705 710 711 717 721
Eroed, J. 664 669 706
Error analysis 741
Error analysis, non-linear inverse 743
Estimate for coefficients of polynomials in  norm 432
Estimate, Riddell 259
Estimate, Specht 266
Euclid 3 6 462 560 722 759
Euclidean space 759
Euler formula 48
Euler numbers 50
Euler polynomials 48
Euler polynomials system 47
Euler polynomials, integral representation of 51
Euler polynomials, relations of 51
Euler, L. 6 19 47 48 50 51 77 79 299 370
Euler’s beta integral 370
Expansion Fourier 49
Expansion Hermite 262
Expansion orthogonal 34
Expansion truncated 729
Exponential weights 483
Extended complex plane 173
Extremal function 415
Extremal problem for Lorentz classes of polynomials 653
Extremal problem for non-negative polynomials 154 644
Extremal problem for polynomial with prescribed zeros 455
Extremal problem for restricted polynomial classes 624
Extremal problem in a circle 674
Extremal problem in direrent norms 591
Extremal problem in mixed metrices 671
Extremal problem of Blatt 399
Extremal problem of Chakalov 420
Extremal problem of Halasz 399
Extremal problem of Konjagin 595
Extremal problem of Markov type in norm 569
Extremal problem of Markov — Bernstein type 527
Extremal problem of Posse 421
Extremal problem of Szegoe 467
Extremal problem of Zolotarev 404
Extremal problem weighted 390
Extremal problem Wirtinger’s type 578
Extremal problem with exponential weight 483
Extreme points 485
Extreme solutions 108
Extremum point 306
Faddeev, D.K. 65 78
Fan, K. 578 706
Farin, G. 759 768 773 775 776
Farouki, R.T. 763 776
Fefferman, R. 518
Feher, F. 78 513 776
Feinerman, R.P. 387 511
Fejer — Gronwall — Jackson’s inequality 321
Fejer — Riesz’s representation 22
Fejer, L. v vii xii 22 23 27 69 78 153 154 156 296 300 301 302 306 311 312 313 314 315 317 318 320 321 332 335 338 345 350 351 352 353 362 365 366 369 372 376 380 381 382 393 460 471 511 532 706
Fejer’s celebrated theorem 300
Fejer’s inequality 306
Fejer’s kernel 311
Fejer’s polynomial 471
Fejer’s sum 335
Fejes, L. 151 166 167
Fekete, M. 398 512 532 706
Feldheim, E. 350 351 367 368 377
Feldheim’s result 368
Fermi, E. 78
Field extension 4
Fields, J.L. 357 378
Fil’stinskii, V.A. 469 512
Fiore, A.M. 6
Fitch, J. 317 322 338 360 374 375
Five-diagonal symmetric matrix 577
Fix, G.J. 516 710
Floating point calculus 743
Folges, M. 80
Foote, R.M. 5 77
Force field 217
Formula Forward-difference operator 534
Formula, Bateman 369
Formula, Cauchy 39
Formula, Cauchy’s integral 612
Formula, Clausen 370
Formula, degree elevation 762
Formula, elevation 768
Formula, Euler 19 48
Formula, Gegenbauer 370
Formula, Jensen 175
Formula, Lagrange interpolation 537
Formula, Mehler 312
Formula, Rodrigues’ type 39
Formula, Stirling 261
Formula, subdivision 762
Formula, summation 51
Formula, Viete 17
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