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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 |
Quasi-norm 149 452
Quotient topology 567
Rack, H.-J. 404 522 560 716
Radecki, J. 741 780
Radicals 8
Rafal’son, S.Z. 595 596 597 619 704
Rahman, Q.I. 96 97 127 128 129 130 164 170 216 222 224 228 230 232 242 243 252 272 273 280.281 284 288 289 293 380 399 423 424 448 450 451 452 457 459 504 509 510 512 513 522 528 546 547 548 549 552 553 554 557 585 586 628 630 631 642 643 674 675 679 681 682 687 690 691 693 694 695 698 699 700 706 707 708 715 716 717
Rainville, E.D. 52 82
Rajan, V.T. 763 776
Rajkovic, P.M. 272 292
Rakhmanov, E.A. 489 493 513 610
Rakovic, B.D. 417 525 727 780
Rakovich, B.D. see Rakovic B.D.
Ramshaw, L. 766 780
Rao, D.R. 86 170
Rassias, G.M. 696 717
Rassias, J.M. 696 717
Rassias, Th.M. iii xiii 49 51 52 74 75 79 81 82 200 201 203 204 217 230 243 291 293 294 380 445 448 519 522 528 696 697 703 713 717
Rathore, R.K.S. 160 170
Rational function 243
Ratti conjecture 228
Ratti — Schmeisser conjecture 222
Ratti, J.S. 216 222 223 224 228 242 243 288
Real curve, algebraic 207
Real curve, branch of 208
Real polynomial 85
Real trigonometric polynomials 126
Reccurence relation 32
Rectangular region 772
Rectifiable curve 36
Rectifiable path 567
Recurrence relation 22
Recurrence relation three-term 576
Recursive evaluation algorithm 767
Reddy, A.R. 112 170
Region 173
Region annular 200
Region circular 186
Regular function 39
Regular polygon 6
Regular set 563
Reimer, M. 404 523
Relation asymptotic 144
Relation of Parseval 136
Relatively prime integers 95
Remez inequality 439
Remez inequality, proof of Bojanov 440
Remez, E.J. viii xii 383 439 440 441 509 511 523 702 745 754 755 774
Remez-type computation 745
Representation, Fejer — Riesz 22
Representation, trigonometric 21
Restricted polynomial classes 424
Result, Feldheim 368
Result, Giroux 266
Result, Goodman — Rahman — Ratti 224
Result, Specht 266
Resultant of polynomials 60
Resultant of polynomials, determinant form of 60
Richardson extrapolation 756
Richardson, L.F. 756
Richelot, F.J. 6
Riddell, R.C. 257 258 259 260 294
Riddell’s estimate 259
Riddell’s lemma 258
Riemann zeta-function 175
Riemann, B. 48 175
Riemenschneider, S.D. 711
Riesenfeld, R. 765 779
Riesz, F. v 22 23 27 156 393 532 717
Riesz, M. 442 448 520 523 526 532 583 717
Rigid motion 563
Ring 202
Ring of polynomials in one variable 1
Ring, commutative 2
Ring-shaped region 253
Ringof polynomials in several variables 2
Rivlin, T.J. 216 285 383 385 386 407 442 507 523 628 680 714 729 750 780
Robertson, M.S. 354 369 371 378 380
Robinson, R.M. 106 107 110 171
Rodemick, E. 707
Rodrigues formula for Jacobi polynomials 352
Rodrigues, B.O. 39 352
Rodriguez, R.S. 17 219 221 292 293 675 680 687 689 714 715
Rogosinski, W.W. vii xii 155 156 157 171 323 324 325 328 330 380 381 467 468 523 642 674 718
Rolle, M. 70 108 180 191 209 210 216 284 533
Rolle’s Theorem 70
Ronveaux, A. 76 82 709 711
Rota, G.C. 709
Rouche, E. 176 177 254 271 294
Rouche’s Theorem 177
Royster, W.C. 96 165
Rubinstein, Z. 219 229 294
Rubio de Francia J.L. 80
Rudnicki, J. 252 294
Ruffini, P. 8
Rumsey, A. 707
Ruscheweyh, St. 96 129 130 164 171 354 381 396 400 401 402 403 471 510 513 523 642 643 674 690 691 693 694 695 706 717 718
Ruttan, A. 757 781
Ryzhik, I.M. 734 736 777
s-orthogonal polynomials 420
s-orthogonal polynomials, construction of 420
Saff, E.B. 211 216 217 272 274 275 276 277 283 289 294 392 396 397 398 399 453 454 455 471 472 473 474 475 476 477 478 479 480 481 483 484 485 486 487 488 489 492 493 494 502 503 504 507 511 515 516 517 518 523 524 555 556 610 612 680 682 710 711 718
Sahney, B.N. 716
Salem, R. 146 163 171
Salvati, D.A. 752 780
Savage, N. 365 376
Scaling invariant 762
Schaake, G. 187 196 294 534 586 718
Schaeffer, A.C. viii 448 467 510 524 531 532 534 536 537 538 541 542 545 546 704 717 718 723
Scheick, J.T. 631 632 633 718
Scherer, K. 719
Schiffer, M. 371 378 380
Schmeisser, G. 216 217 222 223 230 232 242 294 399 423 450 452 522 528 553 554 557 628 681 682 698 707 708 715 717
Schmidt, E. 277 278 294 295 569 570 571 718 719 720
Schoenberg, I.J. 69 82 88 89 171 188 189 190 288 355 381 614 718 761 780
Schoenberg’s problem 89
Schumaker, L.L. 511 512 518 520 523 706 774 777
Schur — Szegoe composite theorem 191
Schur, I. 65 69 82 191 208 211 212 278 293 295 414 423 511 524 537 538 543 628 629 718
Schur’s condition 414
Schur’s theorems 537
Schwarz, H.A. 120 159 418 436 496 503 522 593 620
Schweitzer, M. 317 360 381
Second Remez algorithm 754
Seidel, H.-P. 766 780
Seidenberg, A. 75 83
Semicircle 37
Sendov — Ilieff conjecture 216
Sendov, Bl. vi vii xii 134 171 217 218 219 221 222 223 225 226 227 228 229 230 233 243 284 290 291 519 595 713 719 777 778 779
Series of Fourier 138
Series, expansions 51
Series, generalized hypergeometric 352
Series, potential 47
Series, slowly convergent 51
Set of smooth functions 567
Set, bounded locally Lipschitzian open 591
Set, compact  -determining 565
Set, regular 563
Set, subanalytic 564
Set, uniformly polynomially cuspidal 563
Set, Whitney p-regular 567
Shadrin, A.Yu. 531 545 546 719
Shah, S.M. 752 774
Shampine, L.F. 575 578 719
Shape preserving 769
Shapiro, H.S. 386 523
Sharma, A. 107 108 109 110 169 227 228 291 378
ShefTer, I.M. 52 83
Sheil—Small, T. 453 454 455 524 680 718
Shen, L.-C. 603 719
| Shisha, O. 272 285
Shub, M. 8 83
Sidon, S. 151 171
Siegel, C L. 68 83
Sign variation 761
Simeunovic, D.M. 248 295
Simoncelli, A.C. 773 778
Simple closed level curve 176
Simultaneous approximation 741
Singer, I. 748 774 779 781
Singh, S.K. 279 280 295
Singular point 208
Singular value of a matrix 571
Sjogren, P. 564 709
Slit mappings 371
Smale, S. 7 8 83
Smith, G.H. 217 225 226 285
Smith, H.V. 735 781
Smith, P.W. 482 509
Smith, S.J. 604 605 721
Smith, W. 206 286
Soble, A.B. 122 171
Sobolev inequality, multidimensional 563
Sobolev inequality, on a cube 565
Sobolev type inequalities 560
Sobolev, S.L. viii 560 562 565 566 567 569 703
Sokolov, G.T. 536 719
Solomon, H. 164 509
Solution of an algebraic equation 5
Solution, asymptotic 140
Solution, order of 9
Sominskii, I.S. 65 78
Space, Euclidean 759
Space, Orlicz 493
Space, weighted Lebesgue 498
Span of Bernstein basis 759
Span of polynomials 104
Specht, W. 118 171 172 266 295
Spectral norm 574
Spectral radius 274
Springer, T.A. 114 116 118 164 284
Square mean 149
Srivastava, H.M. 52 82 217 230 294 519 703 713
St.-Dennis, R. 741 781
Stahl, H. 476
Stallings, J.R. 6 7 79
Stancu, D.D. 741 781
Stankovic, M.S. 769 779
Stark, E.L. 159 160 161 162 163 171
Starke, E.P. 99 170
Steckhin inequality 534
Steckhin, S.B. 254 255 256 257 295 495 534 535 536 614 719
Stegun, I.A. 49 76 734 773
Stein, E.M. 498 524 612 719
Steinig, J. 319 320 340 341 343 344 346 365 367 375 381
Stenger, F. 399 522
Stieltjes, T.J. 31 65 69 83
Stirling, J. 261 340
Stirling’s formula 261
Stolarsky, K.B. 94 95 96 100 165 205 286
Struik, D.J. 7 83
Studden, W.J. 26 69 79 386 392 395 515
Sturm — Liouville form 621
Sturm, J.F.C. 77 80 379 621
Subanalytic sets 564
Subbarmonic functions 585
Subdivision 762
Subdivision, algorithm 764
Subdivision, formula 762
Subordination 454
Suetin, P.K. xi 31 39 83 409 524
Sum of Fejer 335
Sum of order r 673
Sum of polynomials 1
Sum of squares of Bessel functions 358
Sum, approximation problem 742
Sum, Boolean 772
Sum, trigonometric 135
Summation formula of Poisson 457
Support hyperplanes 560
Support of the measure 32
Surface Boolean sum 772
Surface patches 772
Suslov, S.K. 36 76
Symmetric functions 52
Symmetric functions, elementary 7
Symmetric functions, fundamental theorem 56
Symmetric functions, rational 8
Symmetric group 15
Symmetric n-linear form of total degree 199
Symmetric polynomials 52
Symmetric polynomials in three variables, first degree 58
Symmetric polynomials in three variables, second degree 58
Symmetric polynomials in three variables, third degree 58
Symmetric polynomials, multiaffine 766
Symmetry 763
Sz.—Nagy, B. 374 521 720
Sz.—Nagy, G.(J.v.) 105 107 172 180 181 194 195 295
Szabados, J. 29 30 77 517 633 634 635 636 668 705 719 720
Szasz, O. 129 154 155 162 166 464
Szegoe, G. vii viii xi xii 23 24 27 31 36 37 43 65 69 81 82 83 154 155 156 157 162 171 184 186 188 190 191 193 194 195 197 199 212 220 278 293 295 296 316 323 324.325 328 330 344 345 346 350 354 368 381 405 415 417 442 460 464 467 468 489 511 521 524 534 535 536 538 589 594 596 621 622 623 641 660 676 679 702 709 712 715 720 781
Szegoe’s extremal problem 467
Szegoe’s inequality 467
Szynal, J. 96 97 230 232 284
Taikov, L.V. 496 525 536 606 719 720
Tamarkin, J.D. 589 596 660 709 712
Tariq, Q.M. 233 296 423 429 438 525
Tartaglia, N. 5
Tashev, S. 779
Taskovic, M.R. 250 251 296
Taussky, O. 578 706
Tchebychef, P.L. see Chebyshev P.L.
Tchebycheff, P.L. see Chebyshev P.L.
Telyakovskii, S.A. 137 146 172 528 535 720
Tensor product 772
Theorem, Bernstein 146
Theorem, Enestroem — Kakeya 272
Theorem, fundamental on symmetric functions 56
Theorem, Gauss — Lucas 114 179
Theorem, Gauss — Lucas type 216
Theorem, Grace 187
Theorem, Grace — Heawood 216
Theorem, Hausdorff — Bernstein — Widder 355
Theorem, Hermite — Paulain 208
Theorem, Jackson 750
Theorem, Jensen 280
Theorem, Laguerre 211
Theorem, Landau 145
Theorem, Liouville 173
Theorem, Lorentz 472
Theorem, Lucas 180
Theorem, Newton 54
Theorem, Pellet 254
Theorem, Polya — Szegoe 344
Theorem, Rolle 70
Theorem, Rouche 177
Theorem, Schaake and van der Corput 196
Theorem, Schur 208
Theorem, Szegoe 467
Theorem, Turan 337
Theorem, Vietoris 340
Theorem, Visser 123
Theorem, Walsh 254
Theorem, Weierstrass 472
Theorem, Zygmund 584
Three-term recurrence relation 576
Thron, W.J. 36 79
Tihomirov, V.M. 419 460 525
Timan, A.F. 26.83 384 497 525
Toda, K. 101 172
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