Category
page 1Lemmas in mathematical analysis
Fatou's lemma
inequality relating the Lebesgue integral of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions
Itō's lemma
identity in Itô calculus analogous to the chain rule
Jordan's lemma
theorem in complex analysis
Schwarz lemma
lemma in complex analysis
Riemann–Lebesgue lemma
lemma that the Fourier transform of an L¹ function vanishes at infinity
Gronwall's inequality
theorem that gives bounds on integrals of functions
Sard's theorem
theorem that the set of the critical values of a smooth function has measure zero
Riesz's lemma
lemma
fundamental lemma of calculus of variations
initial result in using test functions to find extremum
Poincaré lemma
Mathematical condition
estimation lemma
Concept in integral mathematics
Weyl's lemma
Mathematical equation
Morse–Palais lemma
theorem that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable change of coordinates
Mazur's lemma
On strongly convergent combinations of weakly convergent sequence in a Banach space