Results 141 to 150 of about 339,860 (181)

On an integral inequality

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1977
The general integral inequality with which this paper is concerned is [J ∞ a {p(x)f'(x) 2 +q(x)f(x)2}dx] 2 <K(p,q)J ∞ a f(x) 2 dxJ ∞ a {(p(x)f'(x))'-q(x)f(x)}
W. N. Everitt, D. S. Jones
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On an integral inequality

Mathematical Notes of the Academy of Sciences of the USSR, 1969
The author proves the following analogue to a well-known result of Hardy and Littlewood [\textit{G. H. Hardy, J. E. Littlewood} and \textit{G. Pólya} [Inequalities. 2nd ed. Cambridge: At the University Press (1952; Zbl 0047.05302), Theorem 382]. Let \(p, q, r, s, t\) be positive numbers such that \(q>1\), \(1/p+1/q>1\), and either (i) \(11\). If \(u=(2-
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Two integral inequalities

Israel Journal of Mathematics, 1971
Let (X, S, μ) and (Y, T, ν) be two measure spaces,K(g)=∫ Y k(x,y)g(y)dv(y) ξ +=max (ξ,0), and $$\delta (K) = \sup _{x_1 ,x_2 \in X} \int {{}_Y(k(x_1 } y) - (k(x_2 ,y))^ + dv(y)$$
J. R. Blum   +3 more
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On a quadratic integral inequality

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1978
SynopsisThe inequality considered iswhere p and q are given real-valued coefficients on the interval [a, b), with b ≦ ∝, of the real line; here D is a linear manifold of the Hilbert function space L2(a, b), and μ is a real number characterised in terms of the spectrum of a uniquely determined self-adjoint differential operator in L2(a, b).
W. N. Everitt, R. J. Amos
openaire   +3 more sources

Inequalities for a Multiple Integral [PDF]

open access: possibleActa Mathematica Hungarica, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On two integral inequalities [PDF]

open access: possibleProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977
SynopsisIn 1932, Hardy and Littlewood [1] proved the inequalityThe constant 4 is best possible; equality occurs when f(x) = A Y(Bx), wherey(x) = e−½x sin (x sin y−y) (y = ⅓π), (x ≧ o)and A and B (>0) are constants. In [2], three proofs are given. The inequality has also been discussed in [3, 4].
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Inequality and Economic Integration

2004
Introduction Part 1: Inequality in an Historical Perspective 1. Globalization, Income Distribution and History Part 2: Income Inequality 2. From Earning Dispersion to Income Inequality 3. Social Mobility 4. The Size of Redistribution in OECD Countries: Does it influence Wage Inequality Part 3: Globalisation and Well-Being 5. Global Health 6.
SAVAGLIO, Ernesto, FARINA F.
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