Geodesic
Modulus of nearly uniform smoothness and Lindenstrauss formulae
Glasgow mathematical journal, Tome 37 (1995) no. 2, pp. 143-153

Voir la notice de l'article provenant de la source Cambridge University Press

The Lindenstrauss formulawhich states a strong relationship between the (Clarkson) modulus of uniform convexity δx of a Banach space X and the modulus of uniform smoothness px* of the conjugate space X*, is well known. Following the idea of the definitions of nearly uniform smooth space by S. Prus and modulus of uniform smoothness we define a modulus of nearly uniform smoothness and prove some Lindenstrauss type formulae concerning this modulus and the modulus of nearly uniform convexity for some measures of noncompactness. 
Benavides, Tomás Domínguez. Modulus of nearly uniform smoothness and Lindenstrauss formulae. Glasgow mathematical journal, Tome 37 (1995) no. 2, pp. 143-153. doi: 10.1017/S0017089500031049
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