On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals

Advances in Difference Equations

article

Rahman, Gauhar¹  Nisar, Kottakkaran Sooppy²  Ghanbari, Behzad³  Abdeljawad, Thabet⁵ 

[1] Department of Mathematics, Shaheed Benazir Bhutto University;Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University;Department of Engineering Science, Kermanshah University of Technology;Department of Mathematics, Faculty of Engineering and Natural Sciences, Bahçeşehir University;Department of Mathematics and General Sciences, Prince Sultan University;Department of Medical Research, China Medical University;Department of Computer Science and Information Engineering, Asia University

关键词: Fractional integrals;    The generalized fractional integrals;    Fractional integral inequalities;    The Chebyshev functional;   

DOI  :  10.1186/s13662-020-02830-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ. We determine certain new double-weighted type fractional integral inequalities by utilizing the said integrals. We also give some of the new particular inequalities of the main result. Note that we can form various types of new inequalities of fractional integrals by employing conditions on the function Ψ given in the paper. We present some corollaries as particular cases of the main results.

【 授权许可】

CC BY