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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 2, Pages 91–110 (Mi basm229)  
Research articles

On a generalization of Hardy–Hilbert's integral inequality

Namita Dasa, Srinibas Sahoob

a Department of Mathematics, Utkal University, Bhubaneswar, Orissa, India
b Department of Mathematics, Banki Autonomous College, Banki, Orissa, India
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Abstract: A generalization of Hardy–Hilbert's integral inequality was given by B. Yang in [18]. The main purpose of the present article is to generalize the inequality. As applications, the reverse, the equivalent form of the inequality, some particular results and the generalization of Hardy–Littlewood inequalities are derived.
Keywords and phrases: Hardy–Hilbert's integral inequality, $\beta$-function, Hölder's inequality, Hardy–Littlewood inequality.
Received: 29.11.2008
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Document Type: Article
MSC: 26D15
Language: English
Citation: Namita Das, Srinibas Sahoo, “On a generalization of Hardy–Hilbert's integral inequality”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 2, 91–110
Citation in format AMSBIB
\Bibitem{DasSah09}
\by Namita~Das, Srinibas~Sahoo
\paper On a~generalization of Hardy--Hilbert's integral inequality
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 2
\pages 91--110
\mathnet{http://mi.mathnet.ru/basm229}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2589931}
\zmath{https://zbmath.org/?q=an:1190.26018}
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