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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, номер 2, страницы 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

Аннотация: 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.

Ключевые слова и фразы: Hardy–Hilbert's integral inequality, $\beta$-function, Hölder's inequality, Hardy–Littlewood inequality.

MSC: 26D15

Поступила в редакцию: 29.11.2008

Язык публикации: английский



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