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| Mitrinović D.S., Vasić P.M. — Analytic inequalities |
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| Предметный указатель |
 -method of Mitrinovi6 and Vasic 90—95 101
Abel's identity 250
Abel's inequality 32—33 263
Abel, N.H. (1802-1829) 32 174 250 263
Abramowicz, M. (1915-1958) 181 323 326 329
Achiezer see "Ahiezer N.I."
Aczel's inequality 57
Aczel, J. (1924) VII 14 21 24 57 59 382 383
Adamovic, D.D. (1928) 173 174 176 177 188 189 190 209 215 240 282 327 346 354
Agostini, A. (1892-1958) 194
Ahiezer, N.I. (1901) IX 57 262
Akerberg, B. (1896) 344
Aljancic, S. (1922) 381 382
Almansi, E. (1869) 141 151 152
Amur, K.S. 120 121
Andersson, B.J. (1919) 306 336
Aoyagi, M. 213
Apery, R. (1916) 116 117 118
Arama, O. (1925) 150 153
Archbold, J.W. (1908) 312 313
Archimedes (287-212 B.C.) 1
Arfwedson, G. (1905) 214
Arghiriade, E. (1903) 314
Arithmetic mean 27 74
Arithmetic-geometric mean inequality 27—29 213 279 346 380
Arithmetic-geometric mean inequality, refinement of 81—85
Arithmetic-harmonic mean inequality 207
Aronszajn, N. (1907) 318
Askey, R. (1933) 254 263
Aslund, N. (1931) 195
Atkinson, F.V. (1916) 123 125 309 372 374
Aumann, G. (1906) 140 235
Avakumovic, V.G. (1910) 381 382
Ayres, F. (1901) 202
Bajsanski, H. (1930) 134 137
Balcev, I. (1933-1968) 210
Banach space 44 65 311 379
Banach, S. (1892-1945) 44 65 311 379
Banks, D. (1928) 308
Bareiss, E. 198
Bari, N.K. (1901-1961) 264
Barlaz, J. (1921) 196
Barnard, S. 121
Barnes, D.C. (1938) 386
Bartos, P. (1901) 195
Bass, J. (1913) 289
Baston, V.J.D. (1936) 136 137
Beck, E. (1910) 65 66 81
Beck, I. (1942) 200
Beckenbach, E.F. (1906) V IX 22 23 25 26 30 52 54 56 57 80 81 106 110 118 151 169 170 334 372
Beesack, P.R. (1924) VII VIII 50 141 144 145 148 152 153 155 156 157 158 160 161 162 184 185 203 274 282 295 298 305 308 334 373 374 375
Behnke, H. (1898) 318
Behrend, F.A. (1911-1962) 176 177
Bekisev, G.A. 104 106 167 170
Bellman's inequality 58
Bellman, R. (1920) V IX 22 25 30 56 57 58 59 106 110 111 112 118 144 151 152 169 170 371 372
Bennett, A.A. (1888) 301
Benson's method 126—129
Benson, D.C. (1927) 126 128 129 226
Benster, C.D. 65
Berg, L. (1930) 361
Berger, E.R. (1912) 185
Bergstroem, H. (1908) 315
Bergstroem, V. (1905) 176 177
Berkes, J. (1919) 214
Bernoulli's inequality 34
Bernoulli, Jakob (1654-1705) 34 35 36 294
Bernstein's inequality 229
Bernstein's polynomials 72
Bernstein, F. (1878-1956) 15 21 24
Bernstein, S.N. (1880-1968) 10 71 72 73 227 228 229 230 254 259 260 264
Besicovitch, A.S. (1891) 308
Bessel, F.W. (1784-1846) VI 48
Bessmertnyh, G.A. (1936) 139 140
Besso, D. 77 79
beta function 288—289
Beth, E.W. (1908) 322
Beurling, A. (1905) 305
Bienayme, J. (1796-1878) 77 78
Biernacki's inequality 116
Biernacki, M. (1891-1959) 40 41 73 74 113 116 118 205 235 280
Bilimovic, A. (1879) 73
Bindschedler, C. 214
Binet — Cauchy identity 42
Binet, J.P.M. (1768-1856) 42
Bing, R.H. (1914) 25
Birnbaum, Z.W. (1903) 177 178 180 369
Blankfield, J. 263
Blanusa, D. (1903) 383 384
Blaschke, W. (1885-1962) 73 74 141 151
Blatter, C. 214
Bledsoe, W.W. 331
Bliss, G.A. (1876-1951) 299
Bloch, A. (1893) 232
Block, H.D. (1920) 149 150 153 364
Blumberg, H. (1886-1950) 21 24
Boas, R.P. (1912) VIII 9 10 116 138 259 262 304 362
Bodin, N. (1927) 309
Boehme, T.K. (1930) 25
Boggio, T. (1877-1963) 118
Bohr, H. (1887-1951) 197 312 313
Bonnesen, T. (1873-1935) 20 24
Borg, G. (1913) 305
Borwein, D. (1924) 213 283
Bosse, Yu.G. see "Silov G.E"
Bottema, O. (1901) IX
Bourbaki, N. (1933) 15 24 117 119 221 315 331 332 355 356 363 379
Bowman, F. (1891) 294
Boyd, A.V. (1930) VIII 178 179 180 286 287
Boyd, D.W. (1941) 149 150 153 158 160 162
Bray, H. (1889) 234
Brenner, J. 385
Breusch, R. (1907) 322
Brillouin, L. (1889) 383
Bromwich, T.J.I'a. (1875-1929) 210 271
Bruckner, A.M. (1932) 22 25
Brun, V. (1885) 214
Brunk, H.D. (1919) 113 118
Buchner, P. (1892) 184 197
Buckholtz, J.D. (1935) 124 125
Bullen, P.S. (1928) VII 85 86 90 92 93 94 95 106 212
Buniakowski — Schwarz inequality 40 44 71 376
Buniakowski, V.J. (1804-1889) 31 40 44 59 66 70 71 155 296 376
Bush, K.A. (1914) 365
Bush, L.E. (1900) 303
Cakalov, V. (1929) 230
Callebaut, D.K. 42 43 44
Calvert, J. (1936) 157 159 162
Campbell, R. (1913) 274
Caratheodory, C. (1873-1950) 334
Cargo, G.T. (1930) 79 81 227
Carleman's inequality 131
Carleman, T. (1892-1949) 131
Carlitz, L. (1907) 203
Carlson's inequalities 370
Carlson, B.C. (1924) 246 290 379
Carlson, F. (1930) 336 370 371 372
Carmichael, R.D. (1879-1967) 222
Carver, W.B. (1879-1961) 238
Cassels, J.W.S. (1922) 124 125
Caton, W.B. 371
Cauchy — Schwarz inequality 31
Cauchy — Schwarz — Buniakowski inequality 31
Cauchy's functional equation 14
Cauchy's inequalities 204 222
Cauchy's inequality in Banach and Hilbert spaces 44
Cauchy's inequality, integral analogue of 43
Cauchy's inequalityc 30—32 37 41—44 64 77 170 171 207 312 313 314 338 345 379
Cauchy, A.L. (1789-1857) V 14 28 30 31 32 37 41 42 43 44 59 64 66 77 170 171 192 204 207 222 277 312 313 314 338 345 379
Cavalieri, B. (1598?-1647) 25
| Cebysev's inequality 36—41 64 116 224
Cebysev's inequality for n functions 39
Cebysev's inequality, integral analogue of 39
Cebysev's inequality, inverse of 64
Cebysev, P.L. (1821-1894) V 36 37 38 39 40 41 57 64 107 116 217 224 234 352
Cesaro, E. (1859-1906) 184 265
Chakrabarti, M.C. (1915) 347 348
Chapman, T.A. 361
Chassan, J.B. (1916) 68 70
Chatterji, S.D. (1935) 65
chebyshev see "Cebysev P.L."
Child, J.M. 121
Chu, J.T. 288 385
Chu, S.C. (1937) 374 375
Ciesielski, Z. (1934) 25 115 118
Cimmino, G. (1908) 143 152
Cinquini, S. (1906) 25
Citlanadze, E.S. (1912) 352
Clebsch, A. (1833-1872) 152
Coddington, E.A. (1920) 375
Cohen, H.J. (1922) 305
Cohen, L.W. (1903) 1 5
Cohen, M.J. 297
Coleman, A.J. (1918) 181
Coles, W.J. (1929) 146 147 153
Colucci, A. 228
Complementary (inverse) inequality of Cauchy's 64
Complementary (inverse) inequality of Cebysev's 64
Complementary (inverse) inequality of Hoelder's 64—65
Complementary (inverse) inequality of the triangle inequality 311
Conlan, J. (1923) 375
Constantinescu, F. (1938) 220
Conte, J.M. 181
Converse inequality of Young's 50
Convex function 15
Convex function of order n 17
Convex function, continuity and differentiability of 17—18
Convexity, geometrical interpretation of 15—16
Convexity, geometrical interpretation of, hierarchy of 22—23
Convexoidal function 20
Conway, V. 280 385
Cooper, R. (1903) 50 77 79
Cordes, H.O. (1925) 305
Cosnita, C. (1910-1962) 203
Cospey, E.H. 357
Cramer, H. (1893) 300
Csaszar, A. (1924) 21 24
Cyclic inequalities 132—138
Damsteeg, I. 176 177
Danes, I. (1933) 122 125
Danzer, L.V. (1927) 333
Darmois, G. (1888-1960) 184
Das, K.M. 157 160 162
Davenport, H. (1907-1969) 258 259
Davies, Roy O. (1927) VII 108 120 121 295 308
Davis, P.J. (1923) 48
Daykin, D.E. (1932) 43 44 53 54 55 57
de Bruijn, N.G. (1918) 122 125 169 170 226 314 353 357 359 360
de la Vallee Poussin, Ch. (1866-1962) 376 377
de Novellis, M. 369
Decreasing function 8
Decreasing function, rearrangement 163
Decreasing function, sequence 10
Descartes' Rule of Signs 226
Descartes, R. (1596-1650) 226
Diananda, P.H. (1919) VIII 83 85 134 135 136 137 138
Diaz — Metcalf inequality 62—64
Diaz, J.B. (1920) 44 69 61 63 64 66 147 153 216 311 312
Dienes, P. (1882-1052) 323
Dieudonne, J. (1906) V 1 5 117 119 140 217
Dimovski, I. (1934) 230
Dinghas, A. (1908) 83 85 94 259
Diophantus (about 325) 258
Dirichlet's kernel 248
Dirichlet, Lejeune-, P.G. (1805-1859) 118 248
Dixon, J.D. (1937) 217
Djokovic, D.Z. (1938) VII 134 137 173 176 177 189 246 255 256 277 279 280 283 285 286 301 307 321 331
Djordjevic, R.Z. (1933) IX 200
Docev, K. (1930) 186
Doetsch, G. (1892) 15 21 24
Dokovic, D.Z. see "Djokovic D.Z."
Dotson, W.G. (1935) 379
Double convex function 21
Dougall, J. 97 106
Drazin, M.P. (1929) 349
Dubovik, V.A. 139
Duff, G.F.D. (1926) 168 170
Duffin, R.J. (1909) 230
Duncan, R.L. (1928) 233
Dunkel, O. (1869-1951) 39 41 244 266 268 301
Dunkl, C.F. (1941) 317
Durell, C.V. (1882-1968) 137 243
Ehrlich, G. (1923) 1 5
Eigenvalue 124 149 168 160
Elementary symmetric function 85
Eliezer, C.J. (1918) 43 44 53 54 55 57
Emersleben, O. (1898) 362
Erber, T. (1930) 286
Erdoes, P. (1913) 227 228 231 256 384
Esseen, C.-G. (1918) 291
Euclid (365?-275? B.C.) 28 171
Euler's constant 187 328
Euler, L. (1707-1783) 187 274 328
Everitt, W.N. 48 54 86 90 354
Fan's inequality 66—70
Fan, K. (1914) VIII 66 67 68 69 70 115 118 131 150 153 166 169 304 314 363
Fejer — Jackson inequality 255
Fejer, L. (1880-1959) 253 255 256 326 334
Fejes, L. (1915) 262 see L."
Feller, W. (1906-1970) 184 185
Fempl, S. (1903) 73 74
Fenchel, W. (1905) 169
Fibonacci (di Piza), L. (1180-1250) 232 363
Fibonacci's number 363
Fibonacci's polynomials 232
Fink, A.M. (1932) 377 378
Fischer, P. 383
Fitch, J. (1937) 254 263
Flatto, L. (1929) 221
Flor, P. (1935) 42 44
Fourier, Ch. (1768-1830) 50 236 249 252 260 262
Frame, J.S. (1907) 241 242 271 353
Franck, Ph. 73
Fransen, A. 219
Frazer, H. 334 357
Freudenthal, H. (1905) 174 177
Frye, C.M. (1930) 192
Fuchs, L. (1924) 165 169
Fujiwara, M. (1881-1946) 40 41
Function, Beta 288—289
Function, convex 15
Function, convex of order n 17
Function, convexoidal 20
Function, decreasing 8
Function, double convex 21
Function, elementary symmetric 85
Function, Gamma 266 285—289
Function, homographic 319
Function, hypergeometric 329
Function, increasing 8
Function, intern 21
Function, J-concave 11
Function, J-convex 11
Function, logarithmically convex 18
Function, mean 22
Function, metric 317
Function, monotone 8
Function, nondecreasing 8
Function, nonincreasing 8
Function, Schur's 167—168
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