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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
Операции: Положить на полку |
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| Предметный указатель |
Isobaric polynomial 57
Isomorphism 5
Iteration 8
Ivanov, K. 519 713 777 778
Ivanov, V.I. 499 500 515 528 585 588 709
Iyengar, K.S.K. 134 167
Jackson, D. vii xii 300 301 302 321 332 338 352 365 366 372 376 379 382 384 495 515 750 777
Jackson’s theorem 750
Jacobi matrix 576
Jacobi measure 612
Jacobi measure, generalized 439
Jacobi polynomial sums 367
Jacobi polynomial sums, positivity of 367
Jacobi polynomials 37
Jacobi polynomials, discriminant of 67
Jacobi polynomials, hypergeometric representation of 352
Jacobi transformation 213
Jacobi weight 392
Jacobi, C.G. vii 22 37 39 40 41 45 46 67 76 83 169 213 301 352 367 372 373 374 375 376 378 379 392 436 437 439 476 511 517 576 592 593 594 612 613 615 618 623 653 713 740
Jacobi’s sums 372
Jacobson, N. 4 5 79
Jain, V.K. 272 288 289 451 515 699 708 709
Jensen, J.L.W.V. 103 175 181 206 207 211 212 280 281 285 289 585
Jensen’s circles 181
Jensen’s disk 206
Jensen’s formula 175
Jensen’s polynomials 211
Jensen’s theorem 280
Jetter, K. 711
Jolliffe, A.E. 99 167
Jones, P.W. 518
Jones, W.B. 36 79
Jonsson, A. 562 564 709
Jordan curve 193
Jordan curve, theorem 7
Jordan inequality 537
Jordan, C. 7 193 537 538
Joukowski transformation 474
Joukowski, N.E. 474
Joyal, A. 223 224 252 272 273 289
Jump function 31
Kahane, J.-P. 150 167
Kahmann, J. 759 768 775
Kakeya, S. vii xii 199 231 272 275 276 277 283 286 288 289 290 291 296 375 377 381
Kalajdzic, G. 119 167
Kallman, R.R. 709
Kaminski, A. 713
Karamala, J. 317 379
Karlin, S. 26 69 79 386 392 395 515 741 761 777
Karlovitz, L.A. 704
Kashin, B.S. 398 515
Katsoprinakis, E.S. 290
Keckic, J.D. 173 175 292 408 519
Kelleher, S.B. 247 290
Kellogg, O.D. 560 709
Kelly, J.B. 140 167
Kemperman, J.H.B. 474 515 544 709
Kernel 34
Kernel, Dirichlet 148
Kernel, Fejer 311
Kiefer.J. 69 79
Klein, G. 606 703
Kneser, A. 300 301 379
Kneser, H. 178 290
Knopfmacher, A. 494 515
Kocic, Lj.M. xiii 768 769 771 773 775 777 778 779 794
Koebe function 371
Koebe, P. 371
Koebe’s distortion 371
Koerner, T. 150 167
Kogbetliantz, E. 352 353 362 379
Kolmogoroff, A.N. see Kolmogorov A.N.
Kolmogorov, A.N. 507 614 709
Konjagin, S.V. 595 597 619 709
Koornwinder, T.H. 36 80
Korkin, A.N. xii 383 409 515
Korneichuk, N. 387 515
Koschmieder, L. 320 322 379
Kovacevic, M.A. 272 274 290 594 713 740 779
Kramer, H. 118 167
Krawtchouck, M. 180 214 290
Krawtchouk transformation 214
Krawtchouk, M. see Krawtschouck M.
Krein, M.G. 496 507
Krishnaiah, P.V. 272 290
Kristiansen, G.K. 496 515 602 606 710
Kuhn, H.W. 773
Kuniyeda, M. 246 290
Kurepa, D. 57 65 80
Kurosh, A. 5 60 80
Kuz’min, R.O. 135 136 167
Kuz’min’s method 136
Labelle, G. 252 272 273 289 423 515 591 592 683 684 708 710 717
Lachance, M.A. 392 396 397 398 399 477 478 479 516 554 555 556 710
Lackovic, I.B. 769 778
Lacunary incomplete polynomials 479
Lacunary polynomials 258
Lagrange interpolating curves 771
Lagrange interpolation formula 537
Lagrange multiplier 35 729
Lagrange, J.L. 6 8 35 78 293 294 441 489 509 523 537 541 542 688 702 719 729 738 771 772
Laguerre measure 578
Laguerre measure, generalized 439
Laguerre transformation 213
Laguerre, E. 30 38 39 41 44 46 52 67 68 82 100 167 184 186 211 213 285 290 373 376 430 431 439 481 498 517 518 570 575 577 578 615 618 619 620 623 624 645 708
Laguerre’s Theorem 211
Landau inequality 614
Landau, E. 118 145 168 248 290 306 379 532 614 704 709 710 718
Landau, H.J. 37 78 272 287
Landau’s theorem 145
Lane, J. 765 779
Lang, S. 5 60 75 80
Laplace transform 51 216 355
Laplace, P.S. 51 216 355 376 382
Lascenov, R.V. 740 779
Lax, P.D. 442 450 453 516 675 699 700 701 703 710
Lazarov, R. 713
Least squares approximation with general constraint 737
Least squares approximation with simple constraint 728
Least squares approximation without constraint 728
Lebeague — Stieltjes integral 31
Lebedev, N.A. 371
Lebed’, G.K. 499 516 588 710
Lebesgue constant 300
Lebesgue measurable function 484
Lebesgue measure 440
Lebesgue — Stieltjes measure 31
Lebesgue, H.L. 31 151 300 376 440 484 494 498 562 607
Lee, T.D. 197 198 290
Legebeke, G.J. 180 290
Legendre polynomials 39
Legendre polynomials, Bonnet’s relation of 43
Legendre, A.M. 6 39 40 43 45 132 133 266 272 312 325 351 353 377 381 417 421 423 429 498 582 592 595 612 615 620 621 623 659
Leitmann, G. 741 779
Lemma of Riddell 258
Lemniscate regions 192
Lemniscates 697
Length of polynomials 131
Lenz, H. 306 307 379
Lesky, P. 39 80
Levin, A.L. 506 516 608 609 610 611 612 710
Levin, B.Ya. 548
Lewis, J.L. 354 379
Li, X. 507
Line-segment 180
Linear bounded extension 568
Linear functional 424
Linear subdivision 771
Linear system of equations 725
Liouville, J. 77 80 173 379 621
| Liouville’s theorem 173
Lipka, S. 257 290
Lipschitz condition 138
Lipschitz, R. 138 591 704 707 709 722
Littlewood, J.E. 70 79 94 167
Llaw 214
Llaw transformation 214
Local Markov inequality 564
Local Markov inequality, degree dependent 564
Loewner, C. 89
Loewner, K. 371 379
Logarithmic derivative 100
Logarithmic derivative, zeros of 180
Logarithmic potential 476
Logarithmic residue 174
Lohne, J. 99 166
Lopes, L. 72 80
Lorentz, G.G. v ix xii 28 29 30 77 80 121 169 383 471 472 473 474 476 512 515 516 520 524 528 532 585 631 632 636 639 641 653 659 706 707 711 713 769 779
Lorentz’s class of non-negative polynomials 121
Lorentz’s representation of polynomials 28
Lorentz’s tennis racket 475
Lorentz’s theorem 472
Losey, N. 86 168
Losonczi, L. 155 168
Love, J.B. 100 168
Lozinskii, S.M. 169
Lubinsky, D.S. 28 80 488 492 493 494 506 515 516 517 608 609 610 611 612 710 711
Lucas, F. vi 114 179 180 181 182 186 190 216 221 230 243 285 291 293 297 454 678
Lucas’ Theorem 180
Lukacs, F. 132 133 168 315 372
Lukacs’ inequality 372
Luke, Y.L. 49 80
Lupas, A. 102 103 104 105 106 168 592 594 711
Lyche, T. 774
Lyness, J.N. 322 379
m-distribution 31
MacLane, G.R. 90 168
Maclaurin, C. 71 80
Magnus, A.P. 76 81
Mahler, K. 130 131 168 388
Major axis 196
Makai E. 152 168
Maleev, R. 519 713 777 779
Malik, M.A. 123 124 129 168 450 454 517 660 674 675 676 677 684 703 712
Malozemov, V.N. 269 287
Mamedhanov, Dzh.M. 443 498 514 517 528 712
Mamedov, R.G. 450 514
Marcellan, F.J. 80
Marcinkiewicz, J. 147 148 169
Marcus, M. 72 80
Marden, A. 374 375
Marden, M. 18 80 173 178 180 181 184 186 190 197 199 200 201 202 216 217 218 239 240 241 246 254 257 272 282 291 293
Marden’s corollary 200
Marden’s theorem 200
Marden’s theorem, corrected form of 200
Marik, J. 87 98 169
Marinkovic, L.Z. 424 428 461 519
Marinkovic, S.D. 771 778
Markett, C. 498 517
Markoff, A.A. see Markov A.A.
Markoff, V.A. see Markov V.A.
Markov chains 768
Markov inequality 528
Markov inequality for a cube 565
Markov inequality for differentiation operator 591
Markov inequality for embedding operator 591
Markov inequality in  norm 660
Markov inequality in integral norm 589
Markov inequality on compact sets in  560
Markov inequality on disjoint intervals 558
Markov inequality, asymptotically best possible 559
Markov inequality, best constant 528
Markov inequality, Duffin — Schaeffer’s refinement 546
Markov inequality, extremal polynomial 529
Markov inequality, global 563
Markov inequality, local 564
Markov inequality, multidimensional 563
Markov — Duffin — Schaeffer inequalities 541
Markov, A.A. viii xi xii xiii 383 393 394 449 483 489 490 507 508 509 510 512 516 517 524 527 528 529 538 539 551 554 558 559 560 562 563 564 565 566 567 568 569 583 589 590 591 598 607 609 610 612 632 636 637 644 653 660 698 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 768 776
Markov, V.A. viii xii 422 423 518 522 527 529 530 537 541 545 546 548 553 557 619 625 632 638 639 664 702 704 705 708 709 712 714 716 717 718 719 721
Markovic, D. 247 291
Markov’s theorem 527
Markov’s variational approach 530
Maroni, P. 76 82
Martinez — Legaz, J-E. 779
Mason, T.E. 247 285
Mate, A. 36 81 507 511 585 609 634 712
Matrix five-diagonal symmetric 577
Matrix Jacobi 576
Matrix, maximal eigenvalue of 571
Matrix, singular value of 571
Matrix, spectral norm of 574
Max approximation 749
Max norm optimization 742
Maximal eigenvalue 463
Maximal eigenvalue of a matrix 571
Maximum Modulus Principle 448
Maximum principle for subharmonic functions 485
McLeod, J.B. 72 81
Mean arithmetic 149
Mean geometric 149
Mean k-th symmetric 73
Mean square 149
Mean weighted arithmetic-geometric 94
Measure Lebesgue — Stieltjes 31
Measure non-negative 355
Measure of polynomials 131
Measure, support of 32
Mechanical quadrature 420
Mehler formula 312
Mehler, F.G. 312
Meier, J. see Meier—Gonska.J.
Meier—Gonska, J. 758 777
Meinardus, G. 284 392 518 524 528 712 750 755 779
Meir, A. 107 108 109 110 169 227 228 291 378
Meixner transformation 214
Meixner, J. 76 214
Mendeleev, D. 527 529 712
Mendeleev’s problem 527
Meromorphic function 173
mesh 546
Method, Bernoulli 8
Method, Caratheodory 371
Method, Freud 609
Method, implicit 757
Method, Kuz’min 136
Method, Nevai 502 608
Method, Newton 8
Method, parametric 757
Method, tractable 8
Meynieux, R. 350 376 379
Mhaskar — Rakhmanov — Saff number 493
Mhaskar, H.N. 481 484 485 486 487 488 489 492 493 494 500 501 502 503 504 517 518 610 779
Michlin, S.G. 591 712
Milin, I.M. 371 378 379
Miller, J.C.P. 734
Miller, M.J. 222 223 291
Miller’s algorithm 733 734
Mills, T.M. 604 605 721
Milman, P.D. 561 562 563 564 565 567 568 703
Milne, W.E. 483 518 607 712
Milosevic, D.M. 773 778
Milovanovic, G.V. iii xiii 37 42 51 78 81 103 120 121 155 169 249 270 272 283 285 287 291 292 380 420 424 428 436 460 461 463 465 466 518 519 528 571 573 578 579 582 612 614 616 620 646 647 650 651 652 653 657 658 662 700 704 708 712 713 726 727 728 732 733 736 739 740 773 777 778 779
Milovanovic, I.Z. xiii 155 169 272 274 290 459 460 461 463 465 466 519 578 594 650 713
Minimal norm 408
Minimal eigenvalue 463
Minimal norm 383
Minimal set 242
Minimal uniform norm 384
Minimum modulus principle 697
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