On Hardy-Hilbert-type inequalities with α-fractional derivatives

Abstract

In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We shall illustrate our results using Hölder's inequality on time scales and a few algebraic inequalities.

Keywords

• steffensen's inequality
• dynamic inequality
• dynamic integral
• time scale