Geodesic
Generalized fractional midpoint type inequalities for co-ordinated convex functions
Filomat, Tome 37 (2023) no. 13, p. 4103

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DOI

In this research paper, we investigate generalized fractional integrals to obtain midpoint type inequalities for the coordinated convex functions. First of all, we establish an identity for twice partially differentiable mappings. By utilizing this equality, some midpoint type inequalities via generalized fractional integrals are proved. We also show that the main results reduce some midpoint inequalities given in earlier works for Riemann integrals and Riemann-Liouville fractional integrals. Finally, some new inequalities for k-Riemann-Liouville fractional integrals are presented as special cases of our results.
DOI : 10.2298/FIL2313103H
Classification : 26D07, 26D10, 26D15, 26B15, 26B25
Keywords: Simpson type inequalities, Convex function, Fractional integrals, Third derivative 
Fatih Hezenci; Hüseyin Budak; Hasan Kara; Mehmet Zeki Sarıkaya. Generalized fractional midpoint type inequalities for co-ordinated convex functions. Filomat, Tome 37 (2023) no. 13, p. 4103 . doi: 10.2298/FIL2313103H
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     title = {Generalized fractional midpoint type inequalities for co-ordinated convex functions},
     journal = {Filomat},
     pages = {4103 },
     year = {2023},
     volume = {37},
     number = {13},
     doi = {10.2298/FIL2313103H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313103H/}
}
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