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 SM ISO690:2012DAS, Namita, SAHOO, Srinibas. A Generalization of Hardy-Hilbert’s Inequality for Non-homogeneous Kernel. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 3(67), pp. 29-44. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 3(67) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 29-44 | ||||||
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This paper deals with a generalization of Hardy-Hilbert’s inequality
for non-homogeneous kernel by considering sequences (sn ), (tn ), the functions φp , φq
and parameter λ. This inequality generalizes both Hardy-Hilbert’s inequality and
Mulholland’s inequality, which includes most of the recent results of this type. As
applications, the equivalent form, some particular results and a generalized Hardy-
Littlewood inequality are established.
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| Cuvinte-cheie Hardy-Hilbert’s inequality; Mulholland’s inequality, β-function, H ̈lder’s inequality. |
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