On boundedness of unified integral operators for quasiconvex functions

Abstract

Abstract This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish bounds of these integral operators. We prove their boundedness and continuity. The results of this paper generalize already published results and have direct consequences for fractional and conformable integrals

Keywords

• Quasiconvex function
• Integral operators
• Fractional integral operators
• Conformable integral operators
• Boundedness