University of MaraghehSahand Communications in Mathematical Analysis2322-5807Articles in Press20220109New Integral Inequalities Relating to a General Integral Operators Through Monotone Functions24890810.22130/scma.2021.521013.887ENBouharketBenaissaFaculty of Material Sciences, University of Tiaret and
Laboratory of Informatics and Mathematics, University of Tiaret-Algeria.0000-0002-1195-6169AbdelkaderSenouciDepartment of Mathematics, University of Tiaret and
Laboratory of Informatics and Mathematics, University of Tiaret-Algeria.Journal Article20201212Weighted 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.