Geodesic
A generalization of Hardy--Hilbert's inequality for non-homogeneous kernel
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2011), pp. 29-44

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This paper deals with a generalization of Hardy–Hilbert's inequality for non-homogeneous kernel by considering sequences $(s_n)$, $(t_n)$, the functions $\phi_p$, $\phi_q$ and parameter $\lambda$. 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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     title = {A generalization of {Hardy--Hilbert's} inequality for non-homogeneous kernel},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {29--44},
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}
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Namita Das; Srinibas Sahoo. A generalization of Hardy--Hilbert's inequality for non-homogeneous kernel. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2011), pp. 29-44. http://geodesic.mathdoc.fr/item/BASM_2011_3_a2/