analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving...
20 KB (2,893 words) - 18:00, 8 May 2024
In mathematics, logarithmic Sobolev inequalities are a class of inequalities involving the norm of a function f, its logarithm, and its gradient ∇ f {\displaystyle...
2 KB (370 words) - 11:16, 21 July 2024
the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to...
14 KB (2,210 words) - 08:21, 30 July 2024
mathematical analysis, the Pólya–Szegő inequality (or Szegő inequality) states that the Sobolev energy of a function in a Sobolev space does not increase under...
13 KB (2,241 words) - 12:06, 2 March 2024
In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function together with its...
36 KB (6,654 words) - 15:22, 11 August 2024
Prof Sergei Lvovich Sobolev, FRSE (Russian: Серге́й Льво́вич Со́болев; 6 October 1908 – 3 January 1989) was a Soviet mathematician working in mathematical...
9 KB (816 words) - 06:44, 23 July 2024
mathematical analysis, the Gagliardo–Nirenberg interpolation inequality is a result in the theory of Sobolev spaces that relates the L p {\displaystyle L^{p}} -norms...
29 KB (4,435 words) - 19:46, 3 September 2023
Schur test Shapiro inequality Sobolev inequality Steffensen's inequality Szegő inequality Three spheres inequality Trace inequalities Trudinger's theorem...
9 KB (709 words) - 17:09, 6 October 2023
Markov's inequality Minkowski inequality Nesbitt's inequality Pedoe's inequality Poincaré inequality Samuelson's inequality Sobolev inequality Triangle...
29 KB (3,626 words) - 03:17, 11 August 2024
The n-dimensional isoperimetric inequality is equivalent (for sufficiently smooth domains) to the Sobolev inequality on R n {\displaystyle \mathbb {R}...
24 KB (3,552 words) - 01:43, 10 August 2024