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.
@article{urn:eudml:doc:44459, title = {An extension of Simons' inequality and applications.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {14}, year = {2001}, pages = {95-104}, zbl = {0993.46003}, mrnumber = {MR1851724}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44459} }
Deville, Robert; Finet, Catherine. An extension of Simons' inequality and applications.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 95-104. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44459/