Budak, HüseyinPehlivan, Ebru2021-12-012021-12-0120200035-75961945-3795https://doi.org/10.1216/rmj.2020.50.455https://hdl.handle.net/20.500.12684/10325We first define weighted area balance function. Then we prove two identities for the integrable functions involving weighted area balance. Moreover, using these equalities, we obtain some inequalities for mappings of bounded variation and for Lipschitzian functions, respectively.en10.1216/rmj.2020.50.455info:eu-repo/semantics/closedAccessfunction of bounded variationRiemann-Stieltjes integralsarea balanceOstrowski Type InequalitiesIntegral InequalityMappingsCompanionDerivativesArticle5024554662-s2.0-85088695658WOS:000537771800006Q2Q4