Full paper in PDF:
$%R. Deville and C. Finet, An extension of Simons’ inequality and applications, Rev. Mat. Complut. 14 (2001), no. 1, 95–104.%$

An Extension of Simons’ Inequality and Applications
Robert DEVILLE and Catherine FINET
Université de Bordeaux I
Mathématiques Pures de Bordeaux
Cours de la Libération, 351
F 33405 Talence Cedex — France
deville@math.u-bordeaux.fr
Université de Mons-Hainaut
Institut de Mathématique et d’Informatique, “Le Pentagone”
Avenue du Champ de Mars, 6
B 7000 Mons — Belgique
catherine.finet@umh.ac.be

Received: November 17, 1999
Accepted: July 3, 2000

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.