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Minkowski’s inequality and sums of squares

Péter Frenkel, Péter Horváth (2014)

Open Mathematics

Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.

Modular inequalities for the Hardy averaging operator

Hans P. Heinig (1999)

Mathematica Bohemica

If P is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form u (Pf) Cv (f) are established for a general class of functions φ . Modular inequalities for the two- and higher dimensional Hardy averaging operator are also given.

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