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BanachJ.Math.Anal.2(2008),no.1,16–20 ASTUDYONSOMENEWTYPESOFHARDY–HILBERT’SINTEGRALINEQUALITIES B J M A

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Banach J. Math. Anal. 2 (2008), no. 1, 16–20

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anach

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ournal of

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athematical

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nalysis ISSN: 1735-8787 (electronic)

http://www.math-analysis.org

A STUDY ON SOME NEW TYPES OF HARDY–HILBERT’S INTEGRAL INEQUALITIES

WAAD T. SULAIMAN1 Submitted by F. Kittaneh

Abstract. Some new kinds of Hardy–Hilbert’s integral inequality in which the weight function is homogeneous function are given. Other results are also obtained.

1 Department of Mathematics, College of Computer Sciences and Mathemat- ics, University of Mosul, Iraq.

E-mail address: [email protected]

Date: Received: 8 February 2007; Accepted: 20 February 2007.

2000Mathematics Subject Classification. Primary 54C05; Secondary 46A03, 46A55.

Key words and phrases. Convex, balanced, absorbing, basis, empty interior, non-continuous linear functional.

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