On a New Discrete Hilbert–type Inequality and Its Applications
نویسنده
چکیده
In this paper, a theorem related to the Hilbert-type inequality is corrected. By introducing parameters, and using Euler-Maclaurin summation formula, we give a discrete form of the Hilbert-type inequality involving a non-homogeneous kernel. Furthermore, we prove that our result is a concise generalization of the corrected theorem and some known results. As applications, some particular new results are presented. Mathematics subject classification (2010): 26D15.
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