Generalizations and refinements of three-tuple Diamond-Alpha integral Hölder’s inequality on time scales

Abstract

Abstract In this paper, based on the existing Hölder’s inequality, some new three-tuple diamond-alpha integral Hölder’s inequalities on time scales are proposed and the related theorems and corollaries are given. At the same time, we also give the relevant conclusions and proof of n-tuple diamond-alpha integral Hölder’s inequalities on time scales.

Keywords

• Hölder’s inequality
• Diamond-Alpha integral
• Three-tuple
• Time scales
• Minkowski’s inequality