Geodesic
Certain parameterized inequalities arising from fractional integral operators with exponential kernels
Filomat, Tome 35 (2021) no. 5, p. 1707

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DOI

We utilize the definition of a fractional integral operators, which was presented by Ahmad et al., to investigate a general fractional-type identity with a parameter. We establish certain parameterized fractional integral inequalities based on this identity, and provide two examples to illustrate the obtained results. Also, these results derived in this paper are applied to the estimations of q-digamma function, divergence measures and cumulative distribution function, respectively.
DOI : 10.2298/FIL2105707Y
Classification : 26A33, 41A55, 26D15, 26E60
Keywords: Hermite–Hadamard type inequalities, Simpson’s inequality, Fractional integral operators 
Zhengrong Yuan; Taichun Zhou; Qiang Zhang; Tingsong Du. Certain parameterized inequalities arising from fractional integral operators with exponential kernels. Filomat, Tome 35 (2021) no. 5, p. 1707 . doi: 10.2298/FIL2105707Y
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     title = {Certain parameterized inequalities arising from fractional integral operators with exponential kernels},
     journal = {Filomat},
     pages = {1707 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105707Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105707Y/}
}
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