Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales

Abstract

Abstract The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted Hardy dynamic inequalities involving many functions on time scales. As special cases, we get continuous and discrete inequalities.

Keywords

• Delta derivative
• Hardy’s inequality
• Hölder’s inequality
• Time scales