文章基本信息

标题：On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals
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作者：Gauhar Rahman ; Kottakkaran Sooppy Nisar ; Behzad Ghanbari 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-19
DOI：10.1186/s13662-020-02830-7
出版社：Hindawi Publishing Corporation
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.
关键词：Fractional integrals;The generalized fractional integrals;Fractional integral inequalities;The Chebyshev functional;