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A more accurate reverse half-discrete Hilbert-type inequality. (English) Zbl 1310.26025

Summary: Using the way of weight functions and the idea of introducing parameters, and by means of Hermite-Hadamard’s inequality, a more accurate reverse half-discrete Hilbert-type inequality with the non-homogeneous kernel and a best constant factor is established. In addition, its best extension with parameters, the equivalent forms, as well as some particular cases are given.

MSC:

26D15 Inequalities for sums, series and integrals
47A07 Forms (bilinear, sesquilinear, multilinear)
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