|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Milovanovic G.V., Mitrinovic D.S., Rassias T.M. — Topics in Polynomials: Extremal Problems, Inequalities, Zeros |
Обсудите книгу на
Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter
|
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 |
Скопировать ссылку для форума | Скопировать ID
|
|
|
| Предметный указатель |
 -polynomials 53
Abel, N.H. 8 75 135
Abel’s inequality 135
Abian, A. 261 282
Abramowitz, M. 49 76 734 773
Absolute constant 149
Absolute maximum 142
Absolutely monotonic functions 358
Achieser, N.I. 395 405 414 496 507
Aczel, J. 39 76
Affine invariance 762
Affine transformation 762
Agarwal, R.P. 614 700
Ahmad, M. 107 162
Aihara, Y. 112 163
al-Khwarizmi, M.ibn M. 84
Al-Salam, W.A. 36 76 216 283
Alexander, J.W. 231
Alfaro, M. 80
Algebraic curve 74
Algebraic curve, non-singular 75
Algebraic moment 158
Algebraic surfaces 74
Algorithm 8
Algorithm Bacopoulos and Graff 743
Algorithm de Casteljau 765
Algorithm, cycle of 745
Algorithm, division 4
Algorithm, efficiency of 9
Algorithm, Euclidean 4
Algorithm, Horner evaluation 763
Algorithm, Miller 734
Algorithm, nested multiplication 763
Algorithm, quadratic programming 748
Algorithm, recursive evaluation 767
Algorithm, second Remez 754
Algorithm, subdivision 764
Algorithm, triangular evaluation 770
Alzer, H. 374
Analytic functions 178
Anastassiou, G.A. 703
Anderson, N. 272 274 275 276 277 283
Andrews, G.E. 36 76
Ankeny, N.C 442 507 680
Annular region 200
Annulus 254
Annulus, Enestroem — Kakeya 275
Annulus, zero-free 258
Antosik, P. 713
Apelblat, A. 735
Apolar polynomials 187
Apolarity condition 187
Appell polynomial system 47
Appell, P. v 47
Approximation by incomplete polynomials 481
Approximation by polynomials of given length 481
Approximation of a polynomial by monomials 481
Approximation one-sideed 490
Approximation vectorial 741
Approximation with general constraint 737
Approximation with simple constraint 728
Approximation, best uniform rational 757
Approximation, best vec 743
Approximation, least squares with constraints 725
Approximation, simultaneous 741
Approximation, simultaneous absolute 742
Approximation, simultaneous relative 742
Arestov, V.V. 452 495 499 507 585 609 698 701
Arino, O. 662 708
Arithmetic mean 149
Arithmetic-harmonic mean inequality 99
Arrow, K.J 741 773
Askey, R. xii xiii 36 76 80 197 301 317 322 338 340 341 343 344 346 355 357 359 360 361 362 363 365 367 368 369 370 371 372 374 375 378
Asymptotic argument, Darboux type 357
Asymptotic argument, Kogbetliantz 362
asymptotic relations 144
Asymptotic solution 140
Atakishiyev, N.M. 36 76
Axis major 196
Axis real 196
Aziz, A. 198 199 283 442 457 458 460 461 507 508 675 683 685 686 690 700 701
B-spline curve model 766
Babenko, A.G. 460 508
Babenko, V.F. 665 666 669 670 672 701
Bacopoulos, A. 741 743 747 748 774
Baernstein II, A. 374 375
Baishanski, B. 481 482 508
Baker, A. 705
Baker, Jr. G.A. 178 179 283
Banach, S. 520 719
Barankin, E.W. 741
Bari, N.K. 495 496 499 508 584 588 590 701
Barroso, J.A. 709
Barry, P.J. 762 765 770 771 772 773 774
Barycentric coordinates 763
Barycentric polynomial form 763
Barykin, M.P. 153 163 498 508
Basic symmetric functions 53
Basic symmetric polynomials 53
Basis Bernstein 758
Basis monomial 758
Bateman, H. 44 76 369 372 375 734 774
Bateman’s integral 372
Bateman’s integral formula 369
Bauldry, W.C. 490 508
Beckenbach, E.F. 70 72 76 94 163 673 701
Becker, M. 161 162 163
Beckner, W. 518
Bell, H.E. 252 283
Bell, R.A. 752 774
Bell-shaped 761
Beller, E. 149 150 163
Bellman, R. 70 72 76 94 163 673 701 774
Benade, G. 701
Berens, H. 769 770 774
Berlothy, S 180 283
Berman, D.L. 545 701
Bernoulli numbers 48
Bernoulli polynomials 47
Bernoulli polynomials system 47
Bernoulli polynomials, Fourier expansion of 49
Bernoulli polynomials, functional equation of 49
Bernoulli polynomials, integral representation of 49
Bernoulli polynomials, special values of 49
Bernoulli, D. 8
Bernoulli, J. 47 48 49 77 79
Bernoulli’s method 8
Bernstein basic polynomials 758
Bernstein basic polynomials, recurrence relation of 761
Bernstein basis 758
Bernstein basis, span of 759
Bernstein conjecture 749
Bernstein constant  752
Bernstein constant , computing of the bounds 753
Bernstein constant , lower bound of 752
Bernstein constant , upper bound of 752
Bernstein inequality 528
Bernstein inequality on disjoint intervals 558
Bernstein inequality, a refinement of 690
Bernstein inequality, weighted  , analogues of 616
Bernstein operator 769
Bernstein polynomial basis 758
Bernstein polynomials, degeneracy property of 771
Bernstein polynomials, differentiation formula 769
Bernstein polynomials, extremal behaviour 770
Bernstein polynomials, extremal properties 769
Bernstein polynomials, monotonicity of 769
Bernstein polynomials, rate of approximation 769
Bernstein polynomials, shape preserving properties 769
Bernstein theorem 146 531
| Bernstein theorem for trigonometric polynomials 532
Bernstein theorem, standard form 532
Bernstein, S.N. viii ix xii xiii 27 28 30 76 137 138 139 141 142 143 146 163 172 181 182 183 283 355 383 390 395 396 442 448 489 507 508 512 513 516 520 523 527 528 531 532 534 535 536 538 540 548 558 559 560 562 583 584 588 596 603 604 607 609 610 612 616 636 637 642 661 674 675 687 689 690 701 702 704 705 706 707 708 710 711 712 714 715 716 717 718 719 720 722 726 749 751 752 753 754 755 756 757 758 759 761 762 763 765 766 768 769 770 771 773 774 775 776 777 778 779 780 781
Berwald, L. 245 283 375
Bessel function 325 734
Bessel, F.W. 288 325 356 358 378 734 740 782
Best approximant 387
Best approximation 387
Best vec approximation 743
Best vec approximation, uniqueness 747
beta function 451 672
Bez, H.E. 762 775
Bezier curve 759
Bezier curve, closed 759
Bezier curve, composite 768
Bezier curve, extremal properties 769
Bezier curve, piecewise 768
Bezier curve, properties of 762
Bezier segment 768
Bezier triangular patch 773
Bezier, P.E. ix 757 759 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 778 780
Bidkham, M. 282 283
Bieberbach conjecture 371
Bieberbach conjecture, de Branges’s proof of 371
Bieberbach, L. xii 301 371 374 375 378 380
Binomial distribution 766
Blackwell, D. 741 773
Blagojevic, N.V. 773 778
Blankfield, J. 135 163
Blaschke product 454
Blaschke, W. 454
Blatt, H.-P. 399
Blending functions 771
Bloch, A. 277 294
Blossoming principle 766
Boas, R.P. 126 146 163 167 451 456 457 509 528 702
Bocher, M. 180 284
Bochner, S. 37 39 76
Boehm, W. 759 768 775
Bohr, H. 307 375
Bojanic, R. 482 508 752 775
Bojanov, B.D. xiii 230 232 250 284 391 420 440 509 598 600 602 612.629.669 670 674 702 713
Bollobas, B. 705
Bonan, S.S. 492 509 608 702
Bonnet, O. 43
Bonnet’s relation 43
Boolean sum surface 772
Borosh, I. 482 509
Borwein, P.B. 441 507 509 558 559 630 632 633 634 636 702
Bos, L.P. 561 562 563 564 565 567 568 703
Botsaris, C.A. 748 774
Bottema, O. 133 164
Bounded analytic functions 129
Bounded extension of functions 568
Bounded polynomials 129
Bounds for rounding errors 743
Bounds quasi-geometric local 568
Bourbaki, N. 248 285
Bowman, F. 431 509
Brannan, D.A. 96 97 164 217 218 284
Bray, H. 101 118 164
Brent, R.P. 756 775
Brezinski.C. 76 81 709 711
Brickman, L. 129 130 164
Brown, G. 340 347 348 374 375 376
Brown, J.E. 217
Buenger, H.J 514
Bugrov, Ya.S. 153 163 498 508
Buhmann, M.D. 216 285
Buniakowsky, V.J. 120 159 418 436 496 503 593 620
Burkhardt, H. 300 376
Buslaev, V.I. 660 661 703
Bustoz, J. 365 376
Butzer, P.L. 78 160 164 374 513 521 719 776
Byrnes, J.S. 150 165 167
CAGD 725
Cakalov, V. 134 166
Calculus of residues 173
Calderon, A.P. 518 606 703
Calio, F. 272 285
Callahan, F.P. 455 456 510
Callahan’s inequality 455
Callahan’s inequality, sharpened form 456
Capacity 476
Caratheodory, C. 371 376 380
Caratheodory’s method 371
Cardano,G. 5 6
Cargo, G.T. 272 285
Carleman, T. 37 77
Carlson, Jr. B.C. 405 510
Carmichael, R.D. 247 285
Carmocolias, D. xiii
Carpenter, A.J. xiii 749 752 754 755 756 757 775 781
Carslaw, H.S. 300
Cartan, H. 178 179 248 285 492
Cartan’s inequality 178
Catalan, E.C. 554
Catalan’s constant 554
Cauchy formula 39
Cauchy — Buniakowsky — Schwarz inequality 120
Cauchy, A.L. 8 39 57 81 120 159 173 244 247 252 253 262 285 292 418 436 496 503 593 612 620
Cauchy’s calculus of residues 173
Cauchy’s inequalities 247
Cauchy’s integral formula 612
Central symmetric functions 53
Central symmetric functions, explicit formula of 56
Central symmetric polynomials 53
Central symmetric polynomials, explicit formula of 56
Cesaro summable 300
Cesaro, E. 180 285 300 375 376 517
Chakalov, L. 420 510
Chan, T.N. 676 703
Characteristic function 31
Charlier transformation 214
Charlier, C. V.L. 214
Chebyshev alternation 387
Chebyshev inequality 386
Chebyshev inequality for multivariate polynomials 404
Chebyshev nodes 537
Chebyshev points 145
Chebyshev polynomials of the first kind 39
Chebyshev polynomials of the second kind 39
Chebyshev polynomials, Bonnet’s relation of 43
Chebyshev polynomials, constrained 477
Chebyshev polynomials, generalized 391
Chebyshev polynomials, two-endpoint constrained 478
Chebyshev problem with the exponential weight 485
Chebyshev series 751
Chebyshev weight 389
Chebyshev, P.L. xi xii 21 22 39 40 41 43 44 46 79 97 113 145 165 205 286 294 311 383 384 386 387 388 389 391 392 393 400 403 404 405 406 408 409 419 421 423 429 439 440 448 477 478 479 485 507 509 510 512 513 515 519 521 523 525 529 530 537 543 546 547 549 555 556 582 598 603 604 606 615 629 659 696 703 713 744 747 751 774
Cheney, E.W. 516 524 720 749 774 775
Chihara, T.S. xi 31 77
Christoffel function 34
Christoffel numbers 34
Christoffel — Darboux identity 34
Christoffel, E.B. 34 36 78 82 489 492 505 506 508 511 513 517 520 711 714 727 776
Chui, C.K. 482 509 511 512 518 520 523 701 706 777
Ciesielski, Z. 599 703
Circular domain 186
Circular majorant 552
Circular regions 186
Classical AG inequality 69
Classical Cauchy’s bounds for zeros 244
Classical orthogonal polynomials 36
Classical orthogonal polynomials ultraspherical 39
Classical orthogonal polynomials, characterization of 39
Classical orthogonal polynomials, Chebyshev of the first kind 39
Classical orthogonal polynomials, Chebyshev of the second kind 39
Classical orthogonal polynomials, derivative of 38
Classical orthogonal polynomials, differential equation of 38
|
|
|
| Реклама |
|
|
|
|
|
О проекте