On a more accurate class of discrete Hilbert-type inequalities

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摘要

Motivated by some known results regarding a particular set of non-homogeneous kernels, in this article we study a more general class of discrete Hilbert-type inequalities. We derive a more accurate form for this class of inequalities, based on the application of the Hermite–Hadamard inequality.

论文关键词:Hilbert-type inequality,Hermite–Hadamard inequality,Non-conjugate exponents,Non-homogeneous kernel,Beta function

论文评审过程:Available online 18 March 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.02.059