On boundedness of unified integral operators for quasiconvex functions

Advances in Difference Equations

Sohail Ahmad¹  Kahkashan Mahreen¹  Ghulam Farid¹  Muhammad Zeb¹  Dongming Zhao² 

[1] Department of Mathematics, COMSATS University Islamabad, Attock Campus;School of Automation, Wuhan University of Technology;

关键词: Quasiconvex function;    Integral operators;    Fractional integral operators;    Conformable integral operators;    Boundedness;   

DOI  :  10.1186/s13662-020-2511-8

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown