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Kazarinoff N. — Analytic inequalities
Kazarinoff N. — Analytic inequalities

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Название: Analytic inequalities

Автор: Kazarinoff N.

Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1961

Количество страниц: 93

Добавлена в каталог: 03.12.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$L_{2}$-space      77
$L_{p}$-space      77
$\pi$      35
$\pi$, series for      45
$\pi$, Wallis's product for      47 66
Absolute value      7
Ahieser, N.I.      55
Albert, A.A.      1
Apostol, T.M.      1
Archimedes      27
Arithmetic mean      16 17
Arithmetic mean of a function      75
Arithmetic mean, theorem of      17
Berkes, J.      78
Bernstein polynomials      53 54
Bernstein, S.N.      53 55
Besicovitch, A.S.      29
Bing, R.H.      34
Bohr, H.      78
Boltyanskii, V.G.      84
Bunyakovskii, V.      63 71
Cauchy sequence      76
Cauchy's inequality      67 71
Cauchy, A.      63 67 71
CBS-Inequality      72
Cebysev, P.L.      62 78
Complex number      10
Continued fraction      79
Continuity, uniform      56
Convex body or figure      28
Convex function      81
Convex hull      30
Convexity      28
Diameter (set)      84
Duality and dual theorems      26
Dux, E.      80
e, approximation for      40
e, definition of      36
e, irrationality of      62
e, series for      40
Elliptic integral of first kind      51
Erdoes, P.      85
Euclid      15 80
Feller, W.      54
Function, arctan      43
Function, continuous      52 et seq.
Function, convex      81
Function, linear      9
Function, logarithmic      60
Function, monotone      82
Function, sine      50
Function, square root      44 60
Function, uniformly continuous      56
Geometric mean      15—17
Geometric mean of a function      75
Geometric mean, theorem of      17
Greatest lower bound      32
Gregory, James      45
Hardy, G.H.      1 74
Harmonic mean      38 63
Harmonic series      79
Hermite, C.      35
Heron      25
Heron's formula      25
Hilbert space      75 77
Hilbert, David      75
Hoelder's inequality      67
Hoelder's Inequality for complex numbers      71
Hoelder's inequality for integrals      72
Hoelder, O.      63 67
Inequality of geometric and arithmetic means      17 75
Inequality, Cauchy's      67 71
Inequality, CBS      72
Inequality, conditional      6
Inequality, definition of      2
Inequality, determinativeness of      2
Inequality, Hoelder's      67 71 72
Inequality, isoperimetric      27
Inequality, Jensen's      82
Inequality, Minkowski's      69 73
Inequality, triangle      11
Inequality, Wallis's      47 66
Inequality, Young's      82
Infinity, symbol for      48
Isoperimetric problems      15
Isoperimetric theorem for, n-gons      29
Isoperimetric theorem for, quadrilaterals      27
Isoperimetric theorem for, rectangles      17
Isoperimetric theorem for, right circular cylinders      21 23
Isoperimetric theorem for, tetrahedra      69
Isoperimetric theorem for, triangles      25—26
Isoperimetric Theorem, The      27
Jensen's Inequality (J.L. Jensen)      82
Kakeya, S.      29
Kazarinoff, D.K.      65 85
Kazarinoff, N.D.      84
Lagrange, Joseph Louis      49
Lambek, J.      79
Landau, Edmund      84
Law of Large Numbers      54
Least upper bound      32
Lebesgue integration      76
Lebesgue, Henri      76
Leibnitz, Gottfried Wilhelm      15 45
Lemniscate      13
Lhuilier, Simon      69
Lindemann, F.      35
Littlewood, J.E.      74
ln 2      45 60
Lower bound      31
Mean Value Theorem of Differential Calculus      42
Mean, arithmetic      16 17
Mean, arithmetic of functions      75
Mean, geometric      15—17
Mean, geometric of functions      75
Mean, harmonic      38 63
Mean, power      63 75
Mean, root mean square      63
Minkowski's inequality      69
Minkowski's inequality for integrals      73
Minkowski, Hermann      63 68 71
Moser, J.      79
Nanjundiah, T.S.      62
Newton, Isaac      15 80
Number, $\pi$      25 45 47 66
Number, algebraic      35
Number, complex      10
Number, e      36
Number, n!      61
Number, prime      80
Number, real      1
Number, transcendental      35
Poisson kernel (Simeon-Denis Poisson, 1781—1840)      83
Polynomials, Bernstein      53
Polynomials, Taylor      52
Power mean      63
Power mean of functions      75
Primes, number of is infinite      80
Primes, sum of reciprocals diverges      80
Real line      1
Real number, absolute value of      7
Real number, order postulates      2
Reflection operation      31
Relative error      39
Right circular cylinder      21 23
Rolle's Theorem (Michel Rolle)      81
Root mean square      63
Schloemilch, O.      64
Schwarz, H.A.      71
Sequence, Cauchy      76
Space, $L_{2}$      77
Space, $l_{p}$      77
Space, Euclidean      74
Space, Hilbert      75
Space, metric      74
Steiner, Jacob      28
Stirling's formula      61
STIRLING, JAMES      61
Sturm, Rudolph      84
Taylor polynomials      52
Taylor's theorem      49 et seq.
Taylor, B.      48
Theorem of Arithmetic and Geometric Means      17
Theorem of Arithmetic and Geometric Means for functions      75
Triangle inequality      11
Ungar, Peter      85
Uniform continuity      56
Upper bound      31
Wallis's Inequality      47 66
Wallis, John      47 48 65
Weierstrass approximation theorem      52
Weierstrass Approximation Theorem, proof of      55—59
Weierstrass, Karl      27
Weyl, Hermann      76
Yaglon, I.M.      84
Young's Inequality (W.H. Young)      82
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