Certain novel local fractional half-discrete Hilbert-type inequalities with nonhomogeneous kernels

By employing weight coefficient methods and parameterization techniques, this paper investigates certain novel local fractional half-discrete Hilbert-type inequalities with nonhomogeneous kernels on fractal sets. Furthermore, both the canonical equivalences and its degenerate forms are presented as applications. The main results of this paper can be seen as generalizations and extensions of classical half-discrete Hilbert-type inequalities to the realm of local fractional calculus.