On boundedness of unified integral operators for quasiconvex functions

Advances in Difference Equations

article

Zhao, Dongming¹  Farid, Ghulam²  Zeb, Muhammad²  Ahmad, Sohail²  Mahreen, Kahkashan² 

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

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

DOI  :  10.1186/s13662-020-2511-8

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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】

CC BY