Another ProofoftheBrezis-Lieb Lemma
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2017, Vol 4, Issue 2
Abstract
The Breis-Lieb Lemma was first came up with by the famous French mathematician HaimBrezis and American mathematician Elliott Lieb, it is an improvement of Fatou's Lemma, which has numerous applications mainly in calculus of variations when it faced the problem whether an infimum or supremum can be achieved. In this paper we use the Clarkson's inequality combined with the Fatou's Lemma to prove the Brezis-Lieb lemma.
Authors and Affiliations
Yanjin Chen, Yue Zhang
Keywords
Related Articles
- EP ID EP385687
- DOI -
- Views 82
- Downloads 0
Based on the empirical research on the gem index E - garch model
In this paper, based on the GARCH model, simulation of the gem index trend, the gem closing index of the unit with inspection, Respectively establish a Garch (1, 1) model, T - Garch and E - Garch model, the simulation re...
A Study on Reasonable Energy Consumption Quota of Hotel
The study on reasonable energy consumption quota of hotel can be a hot topic in smart city. Based on the STIRPAT model, in the paper we establish the identity with the impact factors which effect the energy consumption o...
Rationalized Haar collocation method for solving singular nonlinear Lane-Emden type equations
In this study we have proposed the Rationalized Haar (RH) collocation method for the solution of Lane-Emden equations arising in astrophysics as singular initial value problems. In order to test the applicability, accura...
Improve the Excavation Speed of the Tunnel Based on Genetic Algorithm— Radial Basis Function Network Algorithm
The acceleration of the urban process poses new challenges to transport, the construction of three - dimensional traffic has become an important way to solve the congestion problem. The subway is an important factor in t...
Application of Halanay Inequality to the Stability of the Disease Free Equilibrium of a Delayed Malaria Transmission Model
By the applications of Halanay type inequality and the theory of nonsingular M-matrix, the global asymptotical stability of the disease free equilibrium of a delayed malaria transmission model is obtained when the basic...