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J.Ritt [1] has investigated the structure of complex polynomials with respect to superposition.
The polynomial P(x) is said to be indecomposable iff the representation P = P1 ◦ P2 means that
e...
On a Decomposition of Hilbert's Inequality
Hilbert's inequality Weight coefficient Equivalent form Hilbert-type inequality
2010/1/22
By using the Euler-Maclaurin's summation formula and the weight coefficient, a pair of new inequalities is given, which is a decomposition of Hilbert's inequality. The equivalent forms and the extende...
Least Deviation Decomposition with Respect to a Pair of Convex Sets
Least deviation decomposition convex analysis Moreau orthogonal decomposition
2009/1/20
Let $K_1$ and $K_2$ be two nonempty closed convex sets in some normed space $(H,\Vert \cdot \Vert )$. This paper is concerned with the question of finding a "good" decomposition, with respect to $K_1$...