Minkowski’s inequality and sums of squares

• Autorzy: Péter Frenkel , Péter Horváth
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Algebraic inequalities; Minkowski’s inequality; Positive polynomials; Sums of squares

Kategorie tematyczne

• 26D05: Inequalities for trigonometric functions and polynomials

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 3
• Strony: 510-516

Daty

wydano

2014-03-01

online

2013-12-21

Twórcy

autor

Péter Frenkel

• Eötvös Loránd University,

autor

Péter Horváth

• Eötvös Loránd University,

Bibliografia

• [1] Caicedo A., Positive polynomials, http://caicedoteaching.wordpress.com/2008/11/11/275-positive-polynomials/
• [2] Fidalgo C., Kovacec A., Positive semidefinite diagonal minus tail forms are sums of squares, Math. Z., 2011, 269(3–4), 629–645 http://dx.doi.org/10.1007/s00209-010-0753-y[WoS][Crossref]
• [3] Fujisawa R., Algebraic means, Proc. Imp. Acad., 1918, 1(5), 159–170 http://dx.doi.org/10.3792/pia/1195582221[Crossref]
• [4] Ghasemi M., Marshall M., Lower bounds for polynomials using geometric programming, SIAM J. Optim., 2012, 22(2), 460–473 http://dx.doi.org/10.1137/110836869[Crossref]
• [5] Hurwitz A., Über den Vergleich des arithmetischen und des geometrischen Mittels, In: Mathematische Werke II: Zahlentheorie, Algebra und Geometrie, Birkhäuser, Basel, 1932, 505–507

Identyfikatory

DOI

10.2478/s11533-013-0346-1