Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We give a state-of-the-art survey of investigations concerning multivariate polynomial inequalities. A satisfactory theory of such inequalities has been developed due to applications of both the Gabrielov-Hironaka-Łojasiewicz subanalytic geometry and pluripotential methods based on the complex Monge-Ampère operator. Such an approach permits one to study various inequalities for polynomials restricted not only to nice (nonpluripolar) compact subsets of ℝⁿ or ℂⁿ but also their versions for pieces of semialgebraic sets or other "small" subsets of ℝⁿ (ℂⁿ).
Słowa kluczowe
Kategorie tematyczne
- 32B20: Semi-analytic sets and subanalytic sets
- 14P05: Real algebraic sets
- 32U35: Pluricomplex Green functions
- 32E30: Holomorphic and polynomial approximation, Runge pairs, interpolation
- 41A17: Inequalities in approximation (Bernstein, Jackson, Nikol\cprime ski{\u\i}-type inequalities)
- 26E10: C ∞ -functions, quasi-analytic functions
Czasopismo
Rocznik
Tom
Numer
Strony
251-261
Opis fizyczny
Daty
wydano
2006
Twórcy
autor
- Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-16