A general multidimensional half-discrete Hilbert-type inequality involving one derivative function of m-order

Key Points

• The aim is to derive a multidimensional half-discrete Hilbert-type inequality involving derivative functions.
• Utilized weight functions to introduce parameters.
• Applied Hardy’s integral inequality for derivation.
• Considered equivalent statements regarding the best value of the new inequality.
• Derived a new inequality with a general homogeneous kernel.
• Established connections to multiple parameters and corollaries.