DOI: 10.36347/sjpms

Pages: 53-56

The Breis-Lieb Lemma was first came up with by the famous French mathematician Haim Brezis 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