Hezenci, FatihBudak, Huseyin2024-08-232024-08-2320231029-242Xhttps://doi.org/10.1186/s13660-023-03064-3https://hdl.handle.net/20.500.12684/14062In this paper, we obtain an equality involving tempered fractional integrals for twice-differentiable functions. By using this equality, we establish several left Hermite-Hadamard-type inequalities for the case of tempered fractional integrals. Moreover, we derive our results by using special cases of obtained theorems.en10.1186/s13660-023-03064-3info:eu-repo/semantics/openAccessHermite-Hadamard inequalityMidpoint inequalityTempered fractional integralConvex functionTwice differentiable functionHadamard-Type InequalitiesReal NumbersMappingsArticle202312-s2.0-85176912008WOS:001105942500002Q2Q1