Some Improvements of Hölder's Inequality on Time Scales

Abstract

The theory and applications of dynamic derivatives on time scales have recently received considerable interest. In this paper, we define a function using the combined diamond- α integral, investigate its monotonicity and give some refinements for Hölder's inequality. We present some applications for ℤ and ℝ.

Keywords

• time scales
• convex function
• dynamic derivatives
• hölder's inequality
• primary 26d15
• secondary 39a13