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Milovanovic G.V., Mitrinovic D.S., Rassias T.M. — Topics in Polynomials: Extremal Problems, Inequalities, Zeros
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: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 300

Добавлена в каталог: 04.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Sigma$-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 $\beta$      752
Bernstein constant $\beta$, computing of the bounds      753
Bernstein constant $\beta$, lower bound of      752
Bernstein constant $\beta$, upper bound of      752
Bernstein inequality      528
Bernstein inequality on disjoint intervals      558
Bernstein inequality, a refinement of      690
Bernstein inequality, weighted $L^2$, 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
1 2 3 4 5 6 7
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