Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Peajcariaac J.E., Tong Y.L. — Convex functions, partial orderings, and statistical applications
Peajcariaac J.E., Tong Y.L. — Convex functions, partial orderings, and statistical applications

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Convex functions, partial orderings, and statistical applications

Авторы: Peajcariaac J.E., Tong Y.L.

Аннотация:

This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 484

Добавлена в каталог: 17.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Abdel-Hameed, M.      295 419
Abel's identity      254
Abel's identity and star-shaped sequences      258
Abel's identity, generalization of      254 274
Abel's inequality      271
Aczel's inequality for isotonic functionals      125
Aczel, J.      6 53 124 419
Adamovic, D.D.      6 175 176 247—249 251 419 453
Agovic, E.M.      257 260 445
Ahlswede, R.      200 419
AI functions      see "Arrangement increasing functions"
Alzer, H.      151 304 305 419
Anderson's inequality      224
Anderson, B.J.      224 419
Ando, T.      11 52 419 433
Andreief, C.      198 201 420
Andrica, D.      4 68 70 105 247 420 445
Apery, R.      182 420
Arama O.      293 294 420
Arrangement increasing (AI) functions      376
Arrangement increasing (AI) functions and $TP_{2}$ densities      379
Arrangement increasing (AI) functions and moment inequalities      391—392 394
Arrangement increasing (AI) functions and probability inequalities      392 395 396
Arrangement increasing (AI) functions and rank order problems      397—400
Arrangement increasing (AI) functions and Schur-concave densities      379
Arrangement increasing (AI) functions and selection of populations      400—404
Arrangement increasing (AI) functions for overlapping sums of random variables      386—389
Arrangement increasing (AI) functions, definition of      376
Arrangement increasing (AI) functions, examples of      376 377 384—386 392
Arrangement increasing (AI) functions, multivariate generalization of      see "MAI functions" "MAD
Arrangement increasing (AI) functions, preservation properties of      379—384 391 392
Artin, E.      294 420
Atanackovic, T.M.      228 420
Atkinson, F.V.      204 420
Autar, R.      292 449
B-spline      20
Barlow, R.E.      156 354 394 420
Barnes, D.C.      224 225 228 420 421
Baston, V.J.      172 176 303 421
Bechhofer, R.E.      400 421
Beck, E.      112 127 421
Beckenbach's inequalities      123 161
Beckenbach, E.F.      8 12 72 95 121 123 138 156 159 161 163 181 191 209 421
Beesack, P.R.      45 56 92 93 98 99 101 103 110 111 117 118 122 124 133 146 156 159 161 200 222 225 244 245 272 292 421 422 445
Bellman's inequality for isotonic functionals      125
Bellman, R.      12 72 121 156 159 161 181 191 209 224 226 421 422
Berger, R.L.      400 401 405 422
Bergh, J.      191 422
Berljand, O.S.      199 422
Bernoulli inequality      163
Bernstein's polynomials      293 326
Bernstein's polynomials and continuous convex functions      293
Bernstein's polynomials, definition of      293
Bernstein, F.      218 422
Berwald's inequality      216
Berwald, L.      214 216 223 422
Bhattacharjee, M.C.      331 422
Biernacki, M.      89 199 206 422
Blaschke, W.      212 422
Boas' inequality      229
Boas, R.P.      58 60 62 63 160 161 229 243 271 422 423
Bodin, N.      295 423
Bohr's inequality      131
Bojanic, R.      265 423
Boland — Proschan Inequality      330—331
Boland, P.J.      329 330 391 392 407 415 416 423
Borell's theorem      351
Borell, C.      214 225 347 350 351 423
Bourbaki, N.      128 423
Brascamp, H.J.      353 354 423
Breiman, L.      299 423
Brenner, J.L.      120 423
Bromwich, T.J.I'A.      270 424
Bruckner, A.M.      279 424
Brunk — Olkin Inequality      156
Brunk, H.D.      13 14 60 62 159 161 266 424
Brunn — Minkowski inequality      348
Brunn, H.      348 424
Bullen, P.S.      71 80 82 88 95 109 112 115 124 127 141 181 231 233 240 245 278 300 302—304 323 424
Burkill's inequality      171 172
Burkill, H.      89 199 424
Burkill, J.C.      82 172 176 424
Callebaut's inequality      118
Callebaut, D.G.      118 424
Capocelli, R.M.      292 424
Cargo, G.T.      7 424
Carleman's inequality      231
Carroll, C.E.      315 317 424
Cauchy inequality      131
Cavaratta, A.S.      19 424
Cebaevskaja, I.V.      118 188 191 300 424 429
Cebysev — Gruess Inequality      88 206—209
Cebysev — Gruess Inequality, discrete analogue of      206
Cebysev — Gruess Inequality, improvements of      210—211
Cebysev's inequality      197
Cebysev's inequality, generalizations of      198—201
Cebysev's inequality, interpolation inequalities of      205
Cebysev's ratio      223
Cebysev, P.L.      197 207 424
Cheng, K.W.      324 424
Choi, M.-D.      52 424
Chokhate, J.      201 424
Chow, Y.S.      340 424
Ciesielski, Z.      161 424
Clausing, A.      200 292 424
Concave functions      1
Concave functions and hyperbolic forms      314—317
Concave functions of higher order      15 325
Concave functions of higher order and Fan — Lorentz Inequality      325
Concave functions, definition of      1
Convex functions and Jensen's inequality      43—46 83
Convex functions and Jensen-convex functions      7
Convex functions and majorization      320 321
Convex functions and Schur-convex fUnctions      333
Convex functions and Wright-convex functions      7
Convex functions in means      8
Convex functions of higher order      15—17 22 23 203
Convex functions of higher order and inequalities for derivatives      31—39
Convex functions of higher order and inequalities for differences      33—37
Convex functions of higher order and Jensen's inequality      71—75 77 79—82
Convex functions of higher order and kth order divided difference      14 22
Convex functions of higher order and Popoviciu's inequality      175
Convex functions of higher order in Jensen sense      17 21
Convex functions of higher order, definition of      15 17
Convex functions of higher order, inequalities for      262
Convex functions of one variable      see "One variable convex functions"
Convex functions of order (m, n)      18 21 208 325
Convex functions of order (m, n) and (m, n) divided differences      18
Convex functions of order (m, n) and Fan — Lorentz Inequality      325
Convex functions with respect to ECT system of functions      23—29
Convex functions, characterizations of      140—142
Convex functions, characterizations of, in terms of Bernstein's polynomial      293
Convex functions, characterizations of, in terms of Steklov functions      140
Convex functions, closure properties of      5
Convex functions, definition of      1 13
Convex functions, geometric interpretation of      2 3
Convex functions, inequalities for derivatives      31—39
Convex functions, inequalities of a normed linear space      9—13
Convex functions, operator convex functions      11
Convex functions, P-convex functions of order n      18
Convex functions, strongly convex functions      40
Convex functions, strongly Jensen-convex functions      40
Convex sequences of higher order      21 250
Convex sequences of higher order, equivalent conditions for      279
Convex sequences of higher order, identities of      277 278
Convex sequences of higher order, inequalities for      253—257 260 261
Convex sequences, closure properties of      289
Convex sequences, conditions for      279
Convex sequences, definition of      6
Convex sequences, implications of      279
Cooper, R.      246 424
Crstici, B.      27 32 33 105 204 424 445 446
Cunningham, F.      242 244 424
Curri, H.B.      15 424
Dahmen, W.      20 424
Danskin, J.M.      121 426
Daroczy, Z.      292 426
Darst, R.      272 426
Das Gupta, S.      347 348 426
Davenport, H.      288 289 426
Davis, C.      11 51 52 426
Dawson, D.F.      39 426
Daykin, D.E.      118 200 419 426 427
De Finetti's theorem      344
Delange, H.      169 426
Delbosco, D.      134 426
Derman, C.      411 426
Diaconis, P.      418 426
Diaz, J.B.      240 426
Djordjevic, R.Z.      35 204 225 426 453
Dragomir, S.S.      89 97 133 135 427 445
Drazin, M.P.      255 427
Dresher's inequality      120
Dresher, M.      120 121 292 427
Drimbe, M.O.      105 420
Dwass, M.      388 389 427
Dykstra, R.L.      344 427
Eaton, M.L.      386 401 402 405 427
ECT (extended complete Tchebycheff) system of functions      23
ECT (extended complete Tchebycheff) system of functions, definition of      24
ECT (extended complete Tchebycheff) system of functions, functions convex with respect to      23—29 203
Ehrenberg, A.S.C.      418 427
Eliezer, C.J.      118 426 427
Esary, J.D.      345 368 427
Everitt, W.N.      209 427
Faber, G.      218 427
Fan — Lorentz Inequality      325
Fan, K.      204 325 329 330 427
Farwig, R.      30 31 75—77 79 427
Favard's inequality      212 224
Favard's inequality, generalizations of      213 214
Favard, J.      212 223 224 427
Fejer, L.      138 427
Feller, W.      299 427
Fempl, S.      212 427
Fink, A.M.      63 89 193 194 427 428
Fomin, S.V.      269 433
Frank, Ph.      212 428
Frechet derivatives      10
Fuchs, L.      323 428
Fujii, J.I.      52 53 428
Fujiwara, M.      218 428
Gabler, S.      97 428
Gadziev, A.D.      305 431
Garding, L.      314 428
Gauss' inequality      195
Gauss, C.F.      217 218 428
Gavrea, I.      70 428
Ger, R.      23 428
Giaccardi, F.      155 428
Gini, C.      120 428
Godunova — Levin Inequality      80
Godunova, E.K.      80 118 121 188 191 224 225 227 228 231 233 235 237 300 303 304 428 429
Goldman's inequality      109
Graham, R.L.      418 426
Gram's inequality      201
Groenman's inequality      312
Grolous, J.      42 429
Grossman, N.      242 244 424
Gruess, G.      206 211 212 429
Gupta, S.S.      400—402 405 429 430
Gurzau, M.      72 428
Guseinov, F.V.      51 429
H-positive functions      176—178 180
Haber, S.      77 430
Hadamard, J.      138 430
Hakopian, H.A.      77 430
Hamel, G.      6 430
Hansen, F.      52 430
Hardy — Littlewood — Polya Inequalities      234 412—413
Hardy's inequality      230
Hardy, G.H.      1 4 6 45 72 108 139 152 154 165 182 199 211 234 300 301 303 319 320 361 365 409 430
Hartman, P.      142 430
Hayashi, T.      182 430
Hays, W.L.      418 430
Henderson, R.      42 430
Henstock, R.      348 430
Hermite — Hadamard's inequality      79 137 139
Hermite — Hadamard's inequality for positive linear functionals      146
Hermite — Hadamard's inequality, discrete analogue of      145
Hermite — Hadamard's inequality, generalizations of      143 144 147—151
Hermite — Hadamard's inequality, historical background of      137—139
Hewett, J.E.      42 344 427
Hilbert's inequality      234
Hlawka's inequality      172
Hoelder O.      44 430
Hoelder's inequality for isotonic functionals      113 118
Hoelder's inequality, generalizations of      127 128
Hoelder's ratio      223
Holgate, P.      388 430
Hollander, M.      375 387 397 400 414 430 446
Horova, I.      140 431
Hsu, I.C.      117 245 431
Hu, K.      148 431
Hwang, L.-N.      163 431
Ibragimov, I.I.      305 431
Imoru, C.O.      324 431
Inequalities for absolute moments      217 218
Inequalities for complex functionals and norms      128—135
Inequalities for dependent random variables      368—374
Inequalities for exchangeable random variables      343—347 366—368
Inequalities for exchangeable random variables and de Finetti's theorem      344
Inequalities for generalized means and moments      107 342 343
Inequalities for generalized means and moments, generalization to functionals      108—112
Inequalities for generalized means and moments, log-convexity property of      117 118 222 342 365
Inequalities for generalized means and moments, via majorization      see "Majorization"
Inequalities for generalized means and moments, via Muirhead's theorem      see "Muirhead's theorem"
Inequalities for means for isotonic functionals      108 109
Inequalities for star-shaped functions      153 164
Inequalities for sums of order p      165—168
Inequalities, via arrangement increasing property      see "Arrangement increasing functions"
Issacson, E.      15 431
Izumi, S.      218 223 431
Janic, R.R.      72 130 133—135 162 163 194 200 445 453
Jensen — Boas Inequality      59
Jensen — Boas Inequality, reversal of      86
Jensen — Brunk Inequality      60
Jensen — Steffensen Inequality      57 324
Jensen — Steffensen Inequality, generalizations of      60 91
Jensen — Steffensen Inequality, integral analogue of      59
Jensen — Steffensen Inequality, refinements of      89
Jensen — Steffensen Inequality, reversal of      83
Jensen's inequality and convex functions      see "Convex functions"
Jensen's inequality for random variables      339 340
Jensen's inequality for random variables, generalizations of      340—342
Jensen's inequality, companion inequalities of      63—64
Jensen's inequality, converses of      98—103
Jensen's inequality, generalizations and refinements of      47 48 51—53 87 88 90—97
Jensen's inequality, geometric formulation of      48—51
Jensen's inequality, higher order of      71 73—78 82 97
Jensen's inequality, reversals of      83—85
Jensen's inequality, via monotonicity      90
Jensen, J.L.W.V.      6 44 53 139 152 166 431
Jensen- (J-)convex functions      5
Jensen- (J-)convex functions and convex functions      7 13 44
Jensen- (J-)convex functions and Wright-convex functions      7
Jensen- (J-)convex functions of higher order      17 21
Jensen- (J-)convex functions, definition of      5
Jensen- (J-)convex functions, strongly Jensen-convex functions      40
Jessen, B.      47 431
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте