S. Iqbal, K. Krulic Himmelreich and J. Pecaric
Received: March 29, 2013; Revised: January 24, 2014; Accepted: January 31, 2014
Abstract. The main purpose of this paper is to give the well-known Hardy, Pólya-Knopp, Hardy-Hilbert, Hardy-Littlewood-Pólya and Hilbert-Hardy-type inequalities in quotients. We apply our result on multidimensional setting to obtain new results.
Keywords: Convex function; kernel; weights; Hardy's inequality; Pólya-Knopp's inequality; Hardy-Hilbert inequality; Hardy-Littlewood-Pólya inequality.
AMS Subject classification: Primary: 26D15
Version to read: PDF
ISSN 0862-9544 (Printed edition)
Faculty of Mathematics, Physics and Informatics
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
e-Mail: email@example.com Internet: www.iam.fmph.uniba.sk/amuc
© 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE