Generalized <i>k</i>-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functions
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초록

Mathematical inequalities have gained importance and popularity due to the application of integral operators of different types. The present paper aims to give Chebyshev-type inequalities for generalized k-integral operators involving the Mittag-Leffler function in kernels. Several new results can be deduced for different integral operators, along with Riemann-Liouville fractional integrals by substituting convenient parameters. Moreover, the presented results generalize several already published inequalities.

키워드

Chebyshev inequalityfractional integralsMittag-Leffler functionPOLYA-SZEGOINTEGRAL-INEQUALITIESEXTENSION
제목
Generalized <i>k</i>-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functions
저자
Zhang, ZhiqiangFarid, GhulamMehmood, SajidJung, Chahn-YongYan, Tao
DOI
10.3390/axioms11020082
발행일
2022-02
유형
Article
저널명
Axioms
11
2