Geodesic
A note on fractional Simpson-like type inequalities for functions whose third derivatives are convex
Filomat, Tome 37 (2023) no. 12, p. 3715

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DOI

In this paper, equality is established for Riemann-Liouville fractional integral. With the aid of this equality, it is proved some fractional Simpson-like type inequalities for functions whose third derivatives in absolute value are convex. By using special cases of the main results, previously obtained Simpson type inequalities are found for the Riemann-Liouville fractional integral. Furthermore, the mathematical example is presented to verify the newly established inequality.
DOI : 10.2298/FIL2312715H
Classification : 26D15, 26D10, 26D07, 41A55
Keywords: Simpson type inequalities, Convex function, Fractional integrals, Third derivative 
Fatih Hezenci; Hüsein Budak. A note on fractional Simpson-like type inequalities for functions whose third derivatives are convex. Filomat, Tome 37 (2023) no. 12, p. 3715 . doi: 10.2298/FIL2312715H
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     title = {A note on fractional {Simpson-like} type inequalities for functions whose third derivatives are convex},
     journal = {Filomat},
     pages = {3715 },
     year = {2023},
     volume = {37},
     number = {12},
     doi = {10.2298/FIL2312715H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312715H/}
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