LAKHDARI Abdelghani (Co-Auteur)2025-09-172025-09-172023http://dspace.ensti-annaba.dz:4000/handle/123456789/855122 (2023) https://doi.org/10.1186/s13660-023-03033-wIn this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.enNewton-type inequalitiesα-convex functionsRiemann–Liouville operatorsBiparameterized identityHölder and power mean inequalitiesArticle