Abstract
We derive an identity for twice-differentiable functions whose second derivatives are convex. By using this equality, we establish some perturbed Newton type inequalities for twice-differentiable convex functions, which we investigate by using Riemann–Liouville fractional integrals. Furthermore, we present our results by using special cases of the obtained theorems.
Citation
Fatih Hezenci. Hüseyin Budak. "SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS." Rocky Mountain J. Math. 53 (4) 1117 - 1127, August 2023. https://doi.org/10.1216/rmj.2023.53.1117
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