p. 255 - 267 A new extension of Hilbert's inequality for multifunctions with best constants factors H. A. Agwo Received: May 26, 2008; Accepted: July 28, 2008 Abstract. The aim of this paper is to establish a new extension of Hilbert's inequality and Hardy-Hilbert's inequality for multifunctions with best constants factors. Also, we present some applications for Hilbert's inequality which give new integral inequalities. Keywords: Hilbert's inequality; integral inequalities. AMS Subject classification: Primary: 26D15, 49C99 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |