Geodesic
On some newton's type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals
Filomat, Tome 37 (2023) no. 11, p. 3427

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DOI

In this paper, we establish a new integral identity involving Riemann-Liouville fractional integrals and differentiable functions. Then, we use the newly established identity and prove several Newton's type inequalities for differentiable convex functions and functions of bounded variation. Moreover, we give a mathematical example and graphical analysis of newly established inequalities to show their validity.
DOI : 10.2298/FIL2311427A
Classification : 26D10, 26A51, 26D15
Keywords: Simpson’s 38 formula, Fractional Calculus, Convex Functions 
Muhammad Aamir Ali; Hüsein Budak; Michal Fečkan; Nichaphat Patanarapeelert; Thanin Sitthiwirattham. On some newton's type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals. Filomat, Tome 37 (2023) no. 11, p. 3427 . doi: 10.2298/FIL2311427A
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     author = {Muhammad Aamir Ali and H\"usein Budak and Michal Fe\v{c}kan and Nichaphat Patanarapeelert and Thanin Sitthiwirattham},
     title = {On some newton's type inequalities for differentiable convex functions via {Riemann-Liouville} fractional integrals},
     journal = {Filomat},
     pages = {3427 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311427A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311427A/}
}
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