Budak, HuseyinUnal, CihanHezenci, Fatih2024-08-232024-08-2320240139-99181337-2211https://doi.org/10.1515/ms-2024-0024https://hdl.handle.net/20.500.12684/14010The authors of the paper suggest a novel approach in order to examine an integral equality using conformable fractional operators. By using this identity, some Newton-type inequalities are proved for differentiable convex functions by taking the modulus of the newly established equality. Moreover, we prove some Newton-type inequalities by using the H & ouml;lder and power-mean inequality. Furthermore, some new results are presented by using special choices of obtained inequalities. Finally, we give some conformable fractional Newton-type inequalities for functions of bounded variation.en10.1515/ms-2024-0024info:eu-repo/semantics/closedAccessNewton formulafractional calculusconformable fractional integralsArticle7423133302-s2.0-85194369529WOS:001230570300018Q2N/A