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On Two Extensions of Hilbert’s Integral Inequality
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نویسنده
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Jokar Zahra
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منبع
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journal of mathematical extension - 2012 - دوره : 6 - شماره : 4 - صفحه:21 -31
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چکیده
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The norm of a hilbert’s type linear operator t : l²(0,∞) rightarrow l²(0,∞) is given. by introducing some parameters, we give the norms of two extensions of hilbert’s integral operator. also, we obtain two new extended hilbert’s type inequalities with constant factors and the equivalent forms are obtained.
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کلیدواژه
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Beta function ,inner product ,Holder’s inequality ,norm ,Hilbert’s integral inequality ,extension of Hilbert’s inequality
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آدرس
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islamic azad university, Faculty of Sciences, Young Researchers club and elites, Department of Mathematics, ایران
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پست الکترونیکی
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jokar.zahra@yahoo.com
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Authors
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