Generalized integral inequalities on time scales

Abstract

Abstract The theory of dynamic equations on time scales which was formulated by Hilger is an area of mathematics which is currently receiving profuse attention. Despite the fact that the basic objective of times scales is to bring together the study of difference and differential equations, it also extends these classical cases to ‘in-between’. In the present article we present a version of Feng Qi integral inequalities on time scales which are in fact generalizations of results given in different articles.

Keywords

• time scale
• Feng Qi inequality
• non-negative increasing function
• Δ and ∇ integrals
• ( q , h ) $(q, h)$ -derivative