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What (who) is Łojasiewicz inequality - definition
Łojasiewicz inequality
INEQUALITY FROM DISTANCE TO A ZERO OF A REAL ANALYTIC FUNCTION
Lojasiewicz inequality; Polyak-Łojasiewicz condition
In real algebraic geometry, the Łojasiewicz inequality, named after Stanisław Łojasiewicz, gives an upper bound for the distance of a point to the nearest zero of a given real analytic function. Specifically, let ƒ : U → R be a real analytic function on an open set U in Rn, and let Z be the zero locus of ƒ.
Poincaré inequality
In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to obtain bounds on a function using bounds on its derivatives and the geometry of its domain of definition.
Grönwall's inequality
THEOREM THAT GIVES BOUNDS ON INTEGRALS OF FUNCTIONS
Gronwall's lemma; Grönwall's lemma; Gronwall inequality; Gronwall lemma; Grönwall inequality; Grönwall lemma; Bellman-Gronwall inequality; Bellman-gronwall inequality; Groenwall's inequality; Groenwall inequality; Groenwall lemma; Groenwall's lemma; Gronwall–Bellman inequality; Gronwall's inequality; Gronwall-Bellman inequality
In mathematics, Grönwall's inequality (also called Grönwall's lemma or the Grönwall–Bellman inequality) allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a differential form and an integral form.
