Results 241 to 250 of about 1,484 (254)
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Variational inequalities and rearrangements
1992Summary: 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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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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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
1991If \(\lambda > 0,v > 0,\lambda + v < 1\), 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), 2018We 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 inequality for periodic functions
Archive for Rational Mechanics and Analysis, 1976Friedberg, R., Luttinger, J. M.
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A Rearranged Good λ Inequality
Transactions of the American Mathematical Society, 1986Richard J. Bagby, Douglas S. Kurtz
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Reverse rearrangement inequalities via matrix technics
2006Summary: 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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