Article ID Journal Published Year Pages File Type
6421847 Applied Mathematics and Computation 2013 19 Pages PDF
Abstract

In this paper we provide an application of the Euler-Maclaurin summation formula with the Bernoulli function for the proof of a strengthened version of the half-discrete Hilbert inequality with the best constant factor in terms of the Euler-Mascheroni constant. Some equivalent numerical representations, operator representations, two kinds of reverses as well as an extension in terms of parameters and the Beta function are also studied.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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