Tempered fractional versions of trapezoid and midpoint-type inequalities for twice-differentiable functions

Hezenci, FatihBudak, Hüseyin2024-08-232024-08-2320240354-5180https://doi.org/10.2298/FIL2412021Hhttps://hdl.handle.net/20.500.12684/13888The paper introduces a novel approach to examine Hermite-Hadamard-type inequalities taking advantage of tempered fractional operators. These inequalities are proved by means of twice-differentiable convex functions involving tempered fractional integral operators. Obtained Hermite-Hadamard-type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals.en10.2298/FIL2412021Hinfo:eu-repo/semantics/closedAccessHermite-Hadamard-type inequalityconvex functionsfractional integralsRiemann-Liouville fractional integralsfractionalHadamard Type InequalitiesReal NumbersMappingsTempered fractional versions of trapezoid and midpoint-type inequalities for twice-differentiable functionsArticle3812402140342-s2.0-85199001282WOS:001272712500001Q3N/A