Full paper in PDF:
$%R. Deville and C. Finet, An extension of Simons’ inequality and applications,
Rev. Mat. Complut. 14 (2001), no. 1, 95–104.%$
Université de Bordeaux I Mathématiques Pures de Bordeaux Cours de la Libération, 351 F 33405 Talence Cedex — France | Université de Mons-Hainaut Institut de Mathématique et d’Informatique, “Le Pentagone” Avenue du Champ de Mars, 6 B 7000 Mons — Belgique |
ABSTRACT
This article is devoted to an extension of Simons’ inequality. As a consequence, having a pointwise converging sequence of functions, we get criteria of uniform convergence of an associated sequence of functions.
2000 Mathematics Subject Classification: 46B20.