PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 73(87), pp. 149-154 (2003)

Previous Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

 		 

ON GENERALIZED INEQUALITIES OF HEINZ, HALMOS AND BERNSTEIN

C.-S. Lin

Department of Mathematics, Bishop's University, Lennoxville, Quebec, J1M 1Z7 Canada

Abstract: We present generalized inequalities of Heinz, Halmos and Bernstein. It is proved that they are all equivalent to one another. In fact they are are all equivalent to the Cauchy--Schwarz inequality. Equality condition and the bound of inequality are established.

Classification (MSC2000): 47A63; 47A30

Full text of the article:

Electronic version published on: 1 Jan 1970. This page was last modified: 14 Apr 2004.

© 1970 Mathematical Institute of the Serbian Academy of Science and Arts
© 1970--2004 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition