On More Accurate Reverse Half-Discrete Hilbert-Type Inequalities Involving One Higher-Order Derivative Function

Abstract

By means of the weight functions, Hermite-Hadamard’s inequality and the technique of real analysis, a new more accurate reverse half-discrete Hilbert-type inequality involving one higher-order derivative function is given. The equivalent conditions of the best possible constant factor related to a few parameters, the equivalent forms, several particular inequalities and the kind of reverses are considered.