Fatou's lemma — In mathematics, Fatou s lemma establishes an inequality relating the integral (in the sense of Lebesgue) of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions. The lemma is named after the French… … Wikipedia
Fatou–Lebesgue theorem — In mathematics, the Fatou–Lebesgue theorem establishes a chain of inequalities relating the integrals (in the sense of Lebesgue) of the limit inferior and the limit superior of a sequence of functions to the limit inferior and the limit superior… … Wikipedia
Lemma (mathematics) — In mathematics, a lemma (plural lemmata or lemmascite book |last= Higham |first= Nicholas J. |title= Handbook of Writing for the Mathematical Sciences |publisher= Society for Industrial and Applied Mathematics |year= 1998 |isbn= 0898714206 |pages … Wikipedia
Fatou — Pierre Fatou Pierre Joseph Louis Fatou (* 28. Februar 1878 in Lorient; † 10. August 1929 in Pornichet) war ein französischer Mathematiker. Nach dem Studium an der École Normale Supérieure in Paris von 1898 bis 1900 arbeitete er ab 1901 am… … Deutsch Wikipedia
Lemma von Fatou — Das Lemma von Fatou (nach Pierre Fatou) erlaubt in der Mathematik, das Lebesgue Integral des Limes inferior einer Funktionenfolge durch den Limes inferior der Folge der zugehörigen Lebesgue Integrale nach oben abzuschätzen. Es liefert damit eine… … Deutsch Wikipedia
Pierre Fatou — Pierre Joseph Louis Fatou (28 February 1878, Lorient – 10 August 1929, Pornichet) was a French mathematician working in the field of complex analytic dynamics. He entered the École Normale Supérieure in Paris in 1898 to study mathematics and… … Wikipedia
Pierre Fatou — Pierre Joseph Louis Fatou (* 28. Februar 1878 in Lorient; † 10. August 1929 in Pornichet) war ein französischer Mathematiker. Nach dem Studium an der École Normale Supérieure in Paris von 1898 bis 1900 arbeitete er ab 1901 am Observatorium in… … Deutsch Wikipedia
List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… … Wikipedia
Dominated convergence theorem — In measure theory, Lebesgue s dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions. The dominated… … Wikipedia
List of lemmas — This following is a list of lemmas (or, lemmata , i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms, list of theorems and list of conjectures. 0 to 9 *0/1 Sorting Lemma ( comparison… … Wikipedia
Lebesgue integration — In mathematics, the integral of a non negative function can be regarded in the simplest case as the area between the graph of that function and the x axis. Lebesgue integration is a mathematical construction that extends the integral to a larger… … Wikipedia
