LAKHDARI Abdelghani2025-09-172025-09-172022-11-29http://dspace.ensti-annaba.dz:4000/handle/123456789/8672022, 6, 710 https://doi.org/10.3390/fractalfract6120710The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result. Using this new identity along with generalized Hölder’s inequality and generalized power mean inequality, we establish some new variants of fractal corrected dual-Simpson-type integral inequalities. Furthermore, some applications for error estimates of quadrature formulas as well as some special means involving arithmetic and p-logarithmic mean are offered to demonstrate the efficacy of our findings.encorrected dual-Simpson inequalitylocal fractional derivativeslocal fractional integralsgeneralized convex functionsfractal setArticle