Some Local Fractional Hilbert-Type Inequalities

Abstract

The main purpose of this paper is to prove some new local fractional Hilbert-type inequalities. Our general results are applicable to homogeneous kernels. Furthermore, the best possible constants in terms of local fractional hypergeometric function are obtained. The obtained results prove that the employed method is very simple and effective for treating various kinds of local fractional Hilbert-type inequalities.

Keywords

• local fractional calculus
• local fractional integral
• local fractional hypergeometric function