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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, номер 2, страницы 91–110
(Mi basm229)
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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.
Поступила в редакцию: 29.11.2008
Образец цитирования:
Namita Das, Srinibas Sahoo, “On a generalization of Hardy–Hilbert's integral inequality”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 2, 91–110
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm229 https://www.mathnet.ru/rus/basm/y2009/i2/p91
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