GENERALIZATION OF YANG–HARDY–HILBERT’S INTEGRAL INEQUALITY ON THE FRACTAL SET ℝ+α

Abstract

Based on local fractional calculus theory, the Hölder double local fractional integral inequality with Weighted is proved. By using the methods of weight function and some analysis techniques on the fractal real set, a local fractional integral inequality with the best constant is given, which is generalization of Yang–Hardy–Hilbert’s inequality on the fractal set [Formula: see text] of fractal dimension [Formula: see text] and its equivalent form is considered.