On some Newton’s type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals

Ali, Muhammad AamirBudak, HüseyinFe?kan, M.Patanarapeelert, N.Sitthiwirattham, Thanin2023-07-262023-07-2620230354-5180https://doi.org/10.2298/FIL2311427Ahttps://hdl.handle.net/20.500.12684/12702In 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. © 2023, University of Nis. All rights reserved.en10.2298/FIL2311427Ainfo:eu-repo/semantics/closedAccessConvex FunctionsFractional CalculusSimpson’s 3/8 formulaOn some Newton’s type inequalities for differentiable convex functions via Riemann-Liouville fractional integralsArticle3711342734412-s2.0-85149725883WOS:000965678200008Q3Q2