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Beckenbach E.F., Bellman R. — Inequalities
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Название: InequalitiesАвторы: Beckenbach E.F., Bellman R. Аннотация: Since the classic work on inequalities by Hardy, Littlewood, and Polya in 1934, an enormous amount of effort has been devoted to the sharpening and extension of the classical inequalities, to the discovery of new types of inequalities, and to the application of inqualities in many parts of analysis. As examples, let us cite the fields of ordinary and partial differenlial equations, which aie dominated by inequalities and variational principles involving functions and their derivatives; the many applications of linear inequalities to game theory and mathematical economics, which have triggered a renewed interest in convexity and moment-space theory; and the growing uses of digital computers, which have given impetus to a systematic study of error estimates involving much sophisticated matrix theory and operator theory.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 1 editionГод издания: 1961Количество страниц: 198Добавлена в каталог: 14.04.2010Операции: Положить на полку |
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Предметный указатель
Representation theorem of Ingham — Siegel 65 66 Reproducing kernel 115 128 129 149 Resonance theorem 98—102 Resonance theorem of Landau 116 117 Rheinbolt, W. 45 54 70 Riccati, J.H. 132 143 155 164 179 181 Riemann, G.F.B. 3 102 108 155 163 Riesz, F. 90 99 101 106 107 111 113 126—128 146 160 Riesz, M. 52 150 Riley, V. 120 130 Robinson, J. 121 130 Rogosinski, W.W. 124 131 Rolle's theorem 11 37 132 Rolle, M. 10 11 37 132 144 161 Romanovsky, E.R. 137 158 Root of largest absolute value 80—83 85 Root of smallest absolute value 85 Root with largest real part 83 84 Root, characteristic 55 56 68—86 Rosenbloom, P. 98 105 123 125 126 131 Roux, J. 158 Royden, H. 105 116 126 Ruderman, H.D. 32 53 Rutherford, D.R. 183 188 Rutman, M.A. 81 94 Ryser, H.J. 31 53 80 92 Sacksteder, R. 157 163 Samuelson, H. 81 83 94 95 101 120 Savage, L.J. 130 Schaeffer, A.C. 165 185 Schaeffer, J.J. 118 129 159 Schapira, H. 10 50 Schiffer, M.M. 130 Schlesinger, L. 10 50 Schmidt, E. 166 187 Schneider, H. 90 Schoenberg, I.J. 56 87 92 96 97 100 114 128 133 144 155 158 178 Schreiher, S. 31 52 Schur condition 32 Schur transformation 31 Schur, I. 1 31 32 47 48 52 54 64 79 89 92 112 128 Schwartz, L. 101 114 124 126 Schwarz's inequality 21—23 Schwarz, B. 185 188 Schwarz, H.A. 21—23 39 45 47 53 54 98 102 104 Schweitzer, P. 44 Schweizer, B. 55 Selberg, A. 66 157 Separating plane 98 Serbyn, W.D. 157 164 Shapiro, H.N. 157 163 Shapiro, H.S. 124 131 Shapley, L. 100 109 111 125 Sherman, S. 52 86 96 Shiffman, M. 130 Shniad, H. 51 Shohat, J. 100 103 110—112 125 Siegel, C.L. 47 54—56 65 66 89 90 Silverman, L.L. 117 Simplex method 119 129 Sklar, A. 55 Slepian, P. 86 95 96 178 187 Smith, K.T. 100 115 129 132 149 Solow, R. 81 83 95 101 120 Space, 106 107 166—175 Space, dual 97 Space, Lorentz 38 Space, moment 28 39 45 99 Space, statistical metric 55 Stability matrix 88 Stability theory 134 135 156 157 Starzinskii, V.M. 166 187 Statistical metric space 55 Steffensen's inequality 48 49 Steffensen's inequality, extensions of 49 Steffensen, J.F. 2 48 49 54 Steinhaus, H. 98 101 117 118 123 129 131 Stepanov, V.V. 135 158 Stieltjes, T.J. 3 97 102 108 141 142 159 Stiemke, E. 119 129 130 Stirling, J. 8 Strutt, J.W. 71 Stuetzfunktion 28 29 Sturm — Liouville theory 140 142 148 159 162 166 178 179 Sturm, C. 140 142 148 159 162 166 178 179 Subadditivity 24 Subharmonic function 146 Sum of order t 18 Superharmonic function 146 Symmetric function, elementary 10 11 33—35 78—80 Symmetric matrix 57 Synge, J.L. 39 53 Sz.-Nagy's inequality 166 167 175 Sz.-Nagy, B. 115 128 165 166 168 175 185—187 Szasz's inequality 64 65 Szasz, O. 64 89 112 Szegoe, G. 2 44 47 54 61 100 111—114 127 128 143 149 157 162 t norm 16 Tamarkin, J. 100 103 110—112 125 Tatarkiewicz, K. 32 Tauber, A. 157 163 165 Taussky, O. 59 62 85 88 90 95 138 159 166 177 182—184 186 Tautz, G. 146 160 Taylor expansion, generalized 132 147 Taylor, B. 132 144 147 161 Theory of games 83 Thomas, R.G. 86 96 Thompson, G.L. 94 Titchmarsh, E.C. 165 185 187 Todd, J. 45 54 166 177 182—184 186 Toeplitz matrix 113 128 Toeplitz, A. 100 113 117 128 Tornheim, L. 145 160 Trace of a matrix 66 70 87 Transformation of Schur 31 Transformation, adjoint 79 80 Transformation, induced 79 Transformation, positive 56 Transformation, variation-dimishing 56 86 87 92 Triangle inequality 20 24 55 Trigonometric moment 99 Trigonometric polynomial 111 112 155 Tucker, A.W. 120 130 Twin paradox 39 Ulam, S. 156 163 Unitary matrix 93 Ursell, H.D. 99 103 126 Valiron, G. 145 160 Varga, O. 39 53 82 94 Variation-diminishing transformation 56 86 87 92 133 155 159 Variational methods 81—83 141 Vector, characteristic 82 83 Vector-matrix differential inequality 132 136—139 Volume, mixed 29 90 Von Neuman, J. 81 83 93 94 100 101 114 120 128 130 166 172 186 Wald, A. 55 81 94 Walsh, J.L. 109 127 Walter, W. 163 Ward, J.C. 80 92 Waring, E. 111 Watson, G.S. 45 54 Weil, A. 114 128 Weinberg, L. 86 95 96 Weinberger, H.F. 2 41 48 54 85 95 133 148 155 157 161 164 Weinstein, A. 162 Weiss, G.H. 113 128 Wendroff inequality 154 155 Wendroff, B. 154 Weston, J.D. 110 127 Westphal, H. 133 154 162 Westwick, R. 79 Weyl, H. 75 89 91 101 115 119 123 126 128 129 131 178 187 Whiteley's inequality 36 Whiteley, J.N. 1 35 53 Whittle, P. 178 187 Widder, D.V. 87 96 100 125 128 132 147 157 161 164 Wieldandt, H. 75 81 85 91 94 95 Wiener, N. 88 97 Wigner, E. 86 96 Wilkins, J.E., Jr. 132 143 146 159 Williams, J.D. 120 130 Williamson, J. 65 89 Williamson, R.E. 87 97 Wing, G.M. 162 Wintner, A. 80 93 132 133 146 147 158 Wirtinger's inequality 140 141 166 177 180 185 186 Wirtinger, W. 140 141 166 177 180 185 186 Wishart, J. 90 Wittich, H. 163 Wolfe, P. 120 129 Wong, Y.K. 129 159 Woodbury, M.A. 129 159 Wright, E.M. 54 157 163 Wronski, J.H. 143 144 159 wronskian 143 159 Yano, K. 157 163 Young's inequality 15 Young, L.C. 29 52 Young, W.H. 1 15 51 Zaremba, S. 101 123 130 147 161 Zygmund, A. 1 25 30 51 52 117 118 123 125
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