Mitrinovic D.S., Pecaric J.E., Volenec V. — Recent Advances in Geometric Inequalities :: Электронная библиотека попечительского совета мехмата МГУ

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Mitrinovic D.S., Pecaric J.E., Volenec V. — Recent Advances in Geometric Inequalities

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Название: Recent Advances in Geometric Inequalities

Авторы: Mitrinovic D.S., Pecaric J.E., Volenec V.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1989

Количество страниц: 710

Добавлена в каталог: 26.09.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Hadamard, J.      397 520 540
Hadwiger, H.      103 104 179 353 444 518 540 655 674
Hall, H.S.      145 146
Hammersley, J.M.      581 674
Hamzin, H.H.      308
Hanes, K.      585 586 672
Hansen, W.      399 549 573
Harant, F.      550 551 553 562 573
Hardy, G.H.      35 99 180 215 398
Haruki, H.      455
Hasin, G.B.      273
Hayashi, T.      297 300 312 400 430
Henderson, G.P.      268 420 537 543
Hendriks, M.H.      334
Heppes, A.      500 540 553 559 573
Herterich, K.      25
Hille, E.      515 544 662 674
Hilton, H.      398
Hlawka, E.      410
Hoborski, A.      398
Hoelder, O.      496 497 504
Hohler, P.      156
Holsztynski, W.      537 540
Hoogland, H.J.T.      329—331
Hoppe, R.      528 544
Horak, S.      335 404 406 466 469 478 540
Hornich, h.      446 600 674
Hovanskij, A.N.      399
Hui, L.      435
Huisman      391 397
Humal, A.K.      387 395 399
Huygens, Ch.      428 435
Ibragimov, M.      215
Identities in a cone of revolution      626
Identities in a polyhedron      576—577
Identities in a pyramid      603—604 609
Identities in a trianqle      2 3 52—63 136 238 279—288 320 327 328
Identities with complex numbers      309—310
Ilie, M.      272
Inequalities for antiprism      649—652
Inequalities for axonometry      533
Inequalities for circles      434—442
Inequalities for compact sets in $E^{2}$       448
Inequalities for cone and a cylinder      614
Inequalities for cone circular      609—613
Inequalities for cone of revolution      612 613 616—630
Inequalities for convex sets in $E^{2}$       444—448 455 459
Inequalities for corridors      457
Inequalities for curves      445—446 454—456 661
Inequalities for cylinder of revolution      594 595 598 599 631—632
Inequalities for ellipse      448 453—455 460—462 689
Inequalities for ellipsoids      635—636 689
Inequalities for finite sets of points in $E^{n}$       660—670 691
Inequalities for finite sets of points or segments in $E^{2}$       434 445—461
Inequalities for frustum of a cone      617—620 630—631
Inequalities for frustum of a pyramid      616—620
Inequalities for hexagons      413—414 431 689
Inequalities for hyperbola      455
Inequalities for hyperspheres      671—672
Inequalities for k-triangles      232—239
Inequalities for linear complexes of lines      652—653
Inequalities for paraboloids      634—635
Inequalities for parallelograms      401—402 407
Inequalities for parallelotopes      657—659
Inequalities for pentagons      412 413
Inequalities for polygon and a point      388—390 392 396 397 421—427 429 682
Inequalities for polygonal lines      430
Inequalities for polygons in $E^{2}$       68—70 131—132 138 414—421 427—431
Inequalities for polygons in $E^{2}$ , convex      138 418—420 430—431 444
Inequalities for polygons in $E^{2}$ , inscribed in a circle      139—140 419 420 431 433—434
Inequalities for polygons in $E^{2}$ , regular      425
Inequalities for polygons in $E^{3}$       691
Inequalities for polygons in $E^{n}$       691—693
Inequalities for polyhedra, arbitrary convex      577—591
Inequalities for polyhedra, cubes      621
Inequalities for polyhedra, isomorphic to regular polyhedra      620—622
Inequalities for polyhedra, other special      585—587 590—591 649
Inequalities for polyhedra, parallelepipeds      599—602
Inequalities for polyhedra, prisms      592—602
Inequalities for polyhedra, pyramids      605—616
Inequalities for polyhedra, rectangular parallelepipeds      600—602
Inequalities for polyhedra, regular      620—622
Inequalities for polyhedra, vertical pyramids      605—608
Inequalities for polyhedral angles      647—648
Inequalities for polytopes      653—659
Inequalities for quadrilaterals      132 146—147 368 401—411 456 688
Inequalities for quadrilaterals with an inscribed and a circumscribed circle      402—406 411
Inequalities for quadrilaterals, circumscribed about a circle      403 404 689
Inequalities for quadrilaterals, inscribed in a circle      139 366—367 401 403 405 410—411 434 452 688—689
Inequalities for quadrilaterals, other convex      401 403 406—411 456 688
Inequalities for semi-circles      434 440 442
Inequalities for sets of constant width      446
Inequalities for simplex and a characteristic points      505—511
Inequalities for simplex and a polytope      523—524
Inequalities for simplex and an arbitrary point      473—505 512—515 690
Inequalities for simplex and two points      507
Inequalities for simplexes      463—533 535—537
Inequalities for simplexes with mutually orthogonal edges      529—533
Inequalities for simplexes, equifacial      511—512 529
Inequalities for simplexes, orthocentric      528—529
Inequalities for simplexes, regular      495 512—515 533 690
Inequalities for skew quadrangles      649
Inequalities for spheres      631—633
Inequalities for spherical polygons      652
Inequalities for spherical sectors      634
Inequalities for spherical segments      633—634
Inequalities for spherical triangles      636—647
Inequalities for squares      388 446 448 452—453
Inequalities for tetrahedra      545—572
Inequalities for tetrahedra with mutually orthogonal edges      568—571
Inequalities for tetrahedra, isodynamic      571
Inequalities for tetrahedra, isosceles      572
Inequalities for tetrahedra, orthocentric      567
Inequalities for tetrahedra, other special      571
Inequalities for tetrahedra, regular      572
Inequalities for tetrahedron and an arbitrary point      562—564
Inequalities for three or more simplexes      536—537
Inequalities for three or more triangles      316 367—369 376 377 379—381 383—384
Inequalities for trapezium      402 404
Inequalities for triangle and a characteristic point      319—333 336 337 339 342—343 345—348 351 684—685 687—688
Inequalities for triangle and a polygon      407 414 452—453
Inequalities for triangle and an arbitrary point      22 278—308 311—315 317—319 324 333—336 338—339 342—352 354 371—374 383 385 387 390—393 395—397 410 449—450 459 681—682 685—686
Inequalities for triangle and n points      315—316
Inequalities for triangle and two points      298—299 312
Inequalities for triangles      1—71 83—85 91—98 101—127 129—308 311—354 371—374 383 385 387 390—393 395—397 407 410 412 414 448—453 455—456 458—462 681—682 684—688
Inequalities for triangles in $E^{3}$       648—649
Inequalities for triangles of Bager's type I      256—260 289—290 683
Inequalities for triangles of Bager's type II      136 256—260 289—290
Inequalities for triangles of Guba      261—263 290
Inequalities for triangles of Janous      266
Inequalities for triangles of Paasche      263—265 290—291
Inequalities for triangles with $b^{2}\lesseqgtr ac$       265—266
Inequalities for triangles, acute      18 22 23 31—32 50 65 70 71 101 105 108 109 111 115 117—118 133—136 141—142 160 232 239—250 257 267—272 274—277 288—292 323 324 333 337 343—345 351 354 374 681 683
Inequalities for triangles, equilateral      347 351
Inequalities for triangles, isosceles      267 274
Inequalities for triangles, non-acute      65 70 71 251—253 267 351
Inequalities for triangles, non-obtuse      31—32 50 105 241 247—250 267 270—272 275 276 291—292 351 374
Inequalities for triangles, obtuse      65 70 71 130—131 133—136 160 232 239 251—255 267 269 272 274 288—289 324 333 351 374
Inequalities for triangles, other special      275—276 350 449
Inequalities for triangles, right      233—237 239 272—274 350
Inequalities for two and more quadrilaterals      362 368
Inequalities for two and more tetrahedra      368—370
Inequalities for two polygons      365—366 390 396 427—429 431—432 435 441—442 458
Inequalities for two polyhedra      610 613—615 621—626
Inequalities for two simplexes      533—539 690
Inequalities for two simplexes and two points      533—534
Inequalities for two triangles      354—367 372—383 386 387 394—395 681 686—687
Inequalities for two triangles and a point      372—375
Inequalities for two triangles and two points      378
Inequalities in an arbitrary simplex for altitudes      506—508 519 526—527

Inequalities in an arbitrary simplex for angles      527—528
Inequalities in an arbitrary simplex for circumhypersphere      511 526
Inequalities in an arbitrary simplex for diameter      516
Inequalities in an arbitrary simplex for edge lengths      515—521
Inequalities in an arbitrary simplex for elements extended to circumhypersphere      504—505 509—511 690
Inequalities in an arbitrary simplex for inscribed simplexes      502—504 508
Inequalities in an arbitrary simplex for medians      505—508
Inequalities in an arbitrary simplex for other elements      518—522 524—526
Inequalities in an arbitrary simplex for other special simplexes      510—511 522—523 526 535—537
Inequalities in an arbitrary simplex for pedal simplexes      512—515
Inequalities in an arbitrary simplex for r, $\rho_{i}$ , $h_{i}$ , $F_{i}$       463—473
Inequalities in an arbitrary simplex for total area      518—519 524—525
Inequalities in an arbitrary simplex for volume      517—521
Inequalities in an arbitrary simplex for width      520
Inequalities in an arbitrary tetrahedon for other elements      562 563 566—567
Inequalities in an arbitrary tetrahedron for altitudes      560
Inequalities in an arbitrary tetrahedron for angles      565—566
Inequalities in an arbitrary tetrahedron for circumradius      553 556 558 560 565 567
Inequalities in an arbitrary tetrahedron for edge lengths      546—560 562 564—567
Inequalities in an arbitrary tetrahedron for face areas      551—554 556—560 564—566
Inequalities in an arbitrary tetrahedron for inradius and exradii      560—562 565
Inequalities in an arbitrary tetrahedron for inscribed tetrahedra      565
Inequalities in an arbitrary tetrahedron for isogonal points      563
Inequalities in an arbitrary tetrahedron for medians      564—565
Inequalities in an arbitrary tetrahedron for pedal tetrahedra      563—564
Inequalities in an arbitrary tetrahedron for volume      553—557 559—560
Inequalities in an arbitrary triangle for altitudes      20 22 200—209 679—680 684
Inequalities in an arbitrary triangle for angle-bisectors      217—229 449 680 681 684
Inequalities in an arbitrary triangle for angles      18—20 83—84 133—138 140—142 149—165 677—678 681—684 694
Inequalities in an arbitrary triangle for angles and R, r, s or F      180—190 678
Inequalities in an arbitrary triangle for angles and sides      168—170
Inequalities in an arbitrary triangle for angles, sides and R, r, s or F      190—192 684
Inequalities in an arbitrary triangle for cevians      20 337 338 346 349—352 448—450
Inequalities in an arbitrary triangle for circumcircle      229—231 321 324
Inequalities in an arbitrary triangle for Crelle — Brocard angle      126 147 239 282 284 285 287 322 329—333 360
Inequalities in an arbitrary triangle for Crelle — Brocard points      279
Inequalities in an arbitrary triangle for elements extended to circumcircle      229—231 324—325 347—348 354 450 685
Inequalities in an arbitrary triangle for excentres      326 329
Inequalities in an arbitrary triangle for excircles      192
Inequalities in an arbitrary triangle for exradii      192—200 679—682 684
Inequalities in an arbitrary triangle for Feuerback point      328
Inequalities in an arbitrary triangle for incentre      329 339 351
Inequalities in an arbitrary triangle for incircle      349 350 412
Inequalities in an arbitrary triangle for inscribed triangles      340—347 350
Inequalities in an arbitrary triangle for isogonal points      295
Inequalities in an arbitrary triangle for Malfatti circles      458 460 688
Inequalities in an arbitrary triangle for medians      20 209—216 449 681 683 684
Inequalities in an arbitrary triangle for Morley triangle      276
Inequalities in an arbitrary triangle for orthic triangle      154 271 343 345—346 455—456
Inequalities in an arbitrary triangle for other circles      452
Inequalities in an arbitrary triangle for other triangles      353 450—451
Inequalities in an arbitrary triangle for pedal triangles      296 343—347 383 681 686
Inequalities in an arbitrary triangle for R, r, s      2—4 49—51 165—168 682 694
Inequalities in an arbitrary triangle for sides      22 84—85 129—131 140 144—149 418 677 682
Inequalities in an arbitrary triangle for sides and R, r, s or F      3 170—180 678—681 683 687
Inequalities in an arbitrary triangle for symmedians      461—462
Inequalities in an arbitrary triangle, symmetric cubic      38—40 43—44
Inequalities in an arbitrary triangle, symmetric quadratic      38 39 43
Inequalities in an arbitrary triangle, symmetric quartic      39—41 44
Inequalities in an arbitrary triangle, symmetric quintic      44
Inequalities in an arbitrary triangle, symmetric sextic      41—42 44—45
Inequality of Aczel      355
Inequality of Bager      154
Inequality of Bellman      356
Inequality of Bohr      17
Inequality of Bottema      154 253 371—372
Inequality of Carlitz      298
Inequality of Colins      38
Inequality of Emmerich      251
Inequality of Erdoes — Mordell      313
Inequality of Gridasow      242
Inequality of Groenman      253
Inequality of Hayashi      297 311 312
Inequality of Hlawka      409—410
Inequality of Huygens      428 435
Inequality of Klamkin      278 296
Inequality of Mitrinovic and Adamovic      132 415
Inequality of Oppenheim      118 354—355
Inequality of Petrovic      121 656
Inequality of Popoviciu      132
Inequality of Walker      247 248
Inequality of Weitzenboeck      428
Inequality of Wolstenholme      85
Inequality of Yff type      330—331
Inkeri, K.      24
inversion      293—294
Ionescu, I.      449
Ionescu-Tiu, C.      158 165 192 601 674
Isoperimetric inequalities      139—140 443—444 518 553 586 594 610 627 654—655 691—693
Isoperimetric point      328—329
Iures, G.      322
Ivanova, T.A.      274 404
Iwata, S.      198 199 276 339 349 354
Iyengar, K.S.K.      518 540 553 554 573
Iyengar, K.V.      518 540 553 573
Jacobi, C.F.      621 676
Jaenichen, W.      519 540
Jagers, A.A.      174
Jaglom, I.M.      371 412 414 481 484 489 491 495 499—502 507 515 517 518 542 551 553 554 560 562 574 586 593 594 602 613 657 675
Janekoski, V.T.      17 24
Janic, R.R.      50 76 85 99 125 142 153 169 191 195 205 206 218 219 248 251 370 400 416 615 675
Janous, W.      34—36 78 80 82 99 100 119 126 135 143 145—147 149 156—161 168—170 175 178 187—189 192 195 196 200 210 213 214 217 218 220 240 266 267 269 270 276 309 320 322 333 336 339 346 348 349 366 371 376 377 382 384 401 405 412 418 420 429 458 459 509 531 532 552 564 682—685
Jaquet      457
Jasinovij, E.A.      547 573
Jensen's inequality      121
Jensen, J.L.W.V.      121 123—126 131 186 301 306 329 353 365 415 417 655
Jocic, D.      274
Johnson, R.A.      414
Jovanovic, M.S.      142 197 208 210 212 214 221 274 428
Jucovic, E.      378
Just, E.      155
Kabak, B.      155
Kalajdzic, G.      323 326 345 349 466 469 478 483 493 500 507 513 515 517 518 523 540 553 556 573 661 674
Kantrowitz, M.      24
Kappus, H.      143
Karanikolov, Hr.      429 430
Karteszi, F.      572 574
Karuppan Chetty, C.S.      99
Kashikar, P.K.      507 526 540
Katz, Z.      271
Kazarinoff, N.D.      139 143 562 574
Keckic, J.      410
Kelarev, A.      427 654 674
Kelly, L.M.      536 544
Kiefer, A.      628 674
Kim, H.O.      429
Kinosita, M.      461
Kirov, G.      230
Klamkin, M.S.      4 19 20 22—24 31 33 35 36 43—48 74 76—79 81 83 95 99 100 106 111 112 118 119 125 136 142—144 146—148 153—157 161 172—174 176 211—213 215 216 221 229 230 248 269 271 276 278 292 293 296 297 299 300 302—304 308 309 312 315 316 319 321 322 330—335 343 346 351 366 370—373 375 378—380 382 383 392 393 400 402 403 405 415—420 428 451 453 455 461 475 476 482 483 491 496 498 500 503 504 506—511 513 515 516 534 539 541 547 548 551 572 574 637—645 647 662—664 672 674 683 685 686 689 690
Klein, E.M.      146
Knight, S.R.      145 146
Knowles, R.      333
Koemhoff, M.      586 593 674
Koetter, E.      557 574
Kohrs      457
Kolarov, D.      399
Kolarov, K.      572 574
Koncandrlova, M.      691
Kooi, O.      84 102
Kooistra, R.      118
Korchmaros, G.      517 519 541 543
Korikova, T.M.      275 528 541
Kortenska, V.      399
Kraemer, E.      411 449 450 462
Kristeva-Prevalska, K.      429 430
Kubota, T.      420
Kuipers, L.      240 312 330 331
Kujundzic, I.      274
Kuperberg, w.      537 540
Kurljandcik, L.D.      323

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