Erden, SametSarıkaya, Mehmet Zeki2020-05-012020-05-0120160096-30031873-5649https://doi.org/10.1016/j.amc.2015.11.012https://hdl.handle.net/20.500.12684/6057WOS: 000367521900029First of all, the generalized Pompeius mean value theorem is established. Then, some generalized Pompeiu type inequalities are obtained. Finally, some applications of these inequalities in numerical integration and for special means are given. (C) 2015 Elsevier Inc. All rights reserved.en10.1016/j.amc.2015.11.012info:eu-repo/semantics/closedAccessPompeius mean value theoremLocal fractional integralFractal spaceNumerical integrationSpecial meansArticle274282291WOS:000367521900029Q1Q1