New Integral Inequalities Relating to a General Integral Operators Through Monotone Functions

Abstract

Weighted integral inequalities for general integral operators on monotone positive functions with parameters $p$ and $q$ are established in [4]. The aim of this work is to extend the results to different cases of these parameters, in particular for negative $p$ and $q$. We give some new lemmas which will be frequently used in the proofs of the main theorems.

Keywords

• general integral operator
• weighted inequalities
• monotone functions
• absolutely continuous