Derivation of bounds of several kinds of operators via \((s,m)\) -convexity

Advances in Difference Equations

article

Chel Kwun, Young¹  Farid, Ghulam²  Min Kang, Shin³  Khan Bangash, Babar²  Ullah, Saleem⁵ 

[1] Department of Mathematics, Dong-A University;Department of Mathematics, COMSATS University Islamabad;Department of Mathematics and RINS, Gyeongsang National University;Center for General Education, China Medical University;Department of Mathematics, Air University

关键词: \((s;    m)\) -Convex function;    Integral operators;    Fractional integral operators;    Conformable integral operators;   

DOI  :  10.1186/s13662-019-2470-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The objective of this paper is to derive the bounds of fractional and conformable integral operators for $(s,m)$-convex functions in a unified form. Further, the upper and lower bounds of these operators are obtained in the form of a Hadamard inequality, and their various fractional versions are presented. Some connections with already known results are obtained.

【 授权许可】

CC BY