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Cited 4 time in webofscience Cited 5 time in scopus
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Generalized <i>k</i>-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functionsopen access

Authors
Zhang, ZhiqiangFarid, GhulamMehmood, SajidJung, Chahn-YongYan, Tao
Issue Date
Feb-2022
Publisher
MDPI AG
Keywords
Chebyshev inequality; fractional integrals; Mittag-Leffler function
Citation
Axioms, v.11, no.2
Indexed
SCIE
SCOPUS
Journal Title
Axioms
Volume
11
Number
2
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/71771
DOI
10.3390/axioms11020082
ISSN
2075-1680
2075-1680
Abstract
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.
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