On Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable$\ \left( \eta _{1},\eta _{2}\right) -$Convex Functions via Generalized Fractional Integrals

Yıldırım, Seda KılınçBudak, HüseyinYıldırım, Hüseyin2025-03-242025-03-2420212147-625Xhttps://hdl.handle.net/20.500.12684/19943In this paper, we first obtain an identity for differentiable mappings. Then we establish some new generalized inequalities for differentiable $\left( \eta _{1},\eta _{2}\right) -$ convex functions involving some parameters and generalized fractional integrals. We show that these results reduces to several new Simpson, midpoint and trapezoid type inequalities. Some special cases are also discussed.eninfo:eu-repo/semantics/openAccesssimpson's 1/3 formula|Integral inequalities|fractional calculus|convex functionsOn Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable$\ \left( \eta _{1},\eta _{2}\right) -$Convex Functions via Generalized Fractional IntegralsArticle92356370