A More Accurate Half-Discrete Hilbert-Type Inequality Involving One
Higher-Order Derivative Function
AbstractBy means of the weight functions, Hermite-Hadamard's inequality and the
technique of real analysis, a new more accurate 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 operator expressions are considered.