Local Fractional Integral Hölder-Type Inequalities and Some Related Results

Abstract

This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang. Then, based on the obtained results, we derive some related inequalities including local fractional integral Minkowski-type and Dresher-type inequalities, which are some extensions of several existing local fractional integral inequalities.

Keywords

• local fractional integral
• Hölder-type inequality
• Minkowski-type inequality
• Dresher-type inequality