Henri Lebesgue information

Henri Léon Lebesgue ForMemRS (French: [ɑ̃ʁi leɔ̃ ləbɛɡ]; June 28, 1875 – July 26, 1941) was a French mathematician known for his theory of integration...

graph of that function and the X axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, extends the integral to a larger class of...

measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure...

limiting average taken around the point. The theorem is named for Henri Lebesgue. For a Lebesgue integrable real or complex-valued function f on Rn, the indefinite...

the early 20th century, Henri Lebesgue generalized Riemann's formulation by introducing what is now referred to as the Lebesgue integral; it is more general...

In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension...

nodes T is generally denoted by Λn(T ). These constants are named after Henri Lebesgue. We fix the interpolation nodes x 0 , . . . , x n {\displaystyle x_{0}...

who proved a slight generalization in 1906 of an earlier result by Henri Lebesgue. In what follows, B R ≥ 0 {\displaystyle \operatorname {\mathcal {B}}...

by Giuseppe Vitali and by Henri Lebesgue in 1907, and uses the notion of measure zero, but makes use of neither Lebesgue's general measure or integral...

double integration. A general definition of surface area was sought by Henri Lebesgue and Hermann Minkowski at the turn of the twentieth century. Their work...

finite-dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford & Schwartz 1958, III.3), although according...

English footballer Henri Lebesgue (1875–1941), French mathematician Henri Leconte (born 1963), French professional tennis player Henri Legay (1920–1992)...

after Henri Lebesgue: Blaschke–Lebesgue theorem Cantor–Lebesgue function Borel–Lebesgue theorem Fatou–Lebesgue theorem Lebesgue constant Lebesgue covering...

guided him in studying the works of Émile Borel, René-Louis Baire, Henri Lebesgue, and Joseph Serret. After graduating in 1925, de Rham remained at the...

of calculus. The reach of calculus has also been greatly extended. Henri Lebesgue invented measure theory, based on earlier developments by Émile Borel...

development was the Lebesgue integral, an alternative to the Riemann integral introduced by Henri Lebesgue in 1904. The Lebesgue integral made it possible...

and related problems of potential theory. The Lebesgue spine was introduced in 1912 by Henri Lebesgue to demonstrate that the Dirichlet problem does...

generalization of the better-known dominated convergence theorem of Henri Lebesgue. It is a characterization of the convergence in Lp in terms of convergence...