Research Article
On More Accurate Reverse Half-Discrete Hilbert-Type Inequalities Involving One Higher-Order Derivative Function
https://doi.org/10.21203/rs.3.rs-1532400/v1
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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.
weight function
Hermite-Hadamard’s inequality
half-discrete Hilbert-type inequality
higher-order derivative function
parameter
best possible constant factor
No competing interests reported.
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