Namita Das, Srinibas Sahoo, “On a generalization of Hardy–Hilbert's integral inequality”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, Number 2,Pages <nobr>91

Research articles

On a generalization of Hardy–Hilbert's integral inequality

Namita Das^a, Srinibas Sahoo^b

^a Department of Mathematics, Utkal University, Bhubaneswar, Orissa, India
^b Department of Mathematics, Banki Autonomous College, Banki, Orissa, India

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.

MSC: 26D15

Received: 29.11.2008

Language: English