Some generalized fractional trapezoid and Ostrowski type inequalities for functions with bounded partial derivatives

Budak, HüseyinOzcelik, Kubilay2021-12-012021-12-0120210170-42141099-1476https://doi.org/10.1002/mma.7733https://hdl.handle.net/20.500.12684/10056In this paper, we first prove three identities for twice partially differentiable functions. Then, by using these equalities, we obtain several trapezoid and Ostrowski type inequalities via generalized fractional integrals for functions with bounded partial derivatives. Moreover, we present some results for Riemann-Liouville fractional integrals by special choice of main results.en10.1002/mma.7733info:eu-repo/semantics/closedAccessbounded functionsfractional integralstrapezoid type inequalityHadamard-Type InequalitiesS-Convex FunctionsDifferentiable MappingsReal NumbersSome generalized fractional trapezoid and Ostrowski type inequalities for functions with bounded partial derivativesArticle441814643146632-s2.0-85113769051WOS:000687664600001Q1Q1