Geodesic
On Hermite-Hadamard type inequalities associated with the generalized fractional integrals
Filomat, Tome 36 (2022) no. 12, p. 3981

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we obtain new generalization of Hermite-Hadamard inequalities via generalized fractional integrals defined by Sarikaya and Ertuğral in [12]. We establish some midpoint and trapezoid type inequalities for functions whose first derivatives in absolute value are convex involving generalized fractional integrals.
DOI : 10.2298/FIL2212981E
Classification : 26D15, 26B25, 26D10
Keywords: Hermite-Hadamard inequality, midpoint inequality, fractional integral operators, convex function 
Fatma Ertuğral; Mehmet Zeki Sarikaya; Hüseyin Budak. On Hermite-Hadamard type inequalities associated with the generalized fractional integrals. Filomat, Tome 36 (2022) no. 12, p. 3981 . doi: 10.2298/FIL2212981E
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     author = {Fatma Ertu\u{g}ral and Mehmet Zeki Sarikaya and H\"useyin Budak},
     title = {On {Hermite-Hadamard} type inequalities associated with the generalized fractional integrals},
     journal = {Filomat},
     pages = {3981 },
     year = {2022},
     volume = {36},
     number = {12},
     doi = {10.2298/FIL2212981E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212981E/}
}
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