Results 241 to 250 of about 1,484 (254)
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Variational inequalities and rearrangements

1992
Summary: We give comparison results for solutions of variational inequalities, related to general elliptic second order operators, involving solutions of symmetrized problems, using Schwarz spherical symmetrization.
ALVINO, ANGELO   +2 more
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The Rearrangement Inequality

2012
In this section we will introduce one really useful inequality called the rearrangement inequality. This inequality has a very broad and easy use in proving other inequalities.
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Convolution, Rearrangement and Related Inequalities

1991
If \(\lambda > 0,v > 0,\lambda + v < 1\), and z is defined by \({z_n} = \sum\limits_{i + j = n} {{x_i}{y_j},{_r}(x) = {{\left( {\sum {x_i^r} } \right)}^{1/r}},}\) then $${_{\frac{1}{{1 - \lambda - v}}}}(z) \leqslant {_{\frac{1}{{1 - \lambda }}}}(x){_{\frac{1}{{1 - v}}}}(y),$$ (1) with equality only if all the x, or all the y, or all the x but
D. S. Mitrinović   +2 more
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Rearrangements and information theoretic inequalities

2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2018
We investigate the interaction of functional rearrangements with information theoretic inequalities. In particular we will prove the Relative Fisher information from Gaussianity decreases on half-space rearrangement, as a consequence we get a qualitative sharpening of the usual Gaussian log-Sobolev inequality.
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Rearrangement inequalities

2001
Elliott Lieb, Michael Loss
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Rearrangement inequality for periodic functions

Archive for Rational Mechanics and Analysis, 1976
Friedberg, R., Luttinger, J. M.
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A Rearranged Good λ Inequality

Transactions of the American Mathematical Society, 1986
Richard J. Bagby, Douglas S. Kurtz
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An Inequality for Rearrangements

The American Mathematical Monthly, 1953
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Reverse rearrangement inequalities via matrix technics

2006
Summary: We give a reverse inequality to the most standard rearrangement inequality for sequences and we emphasize the usefulness of matrix methods to study classical inequalities.
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