Kadakal, Mahirİşcan, İmdat2026-02-282026-02-282024https://hdl.handle.net/20.500.12403/5892In this study, we introduce and study the concept of logarithmic semi P functions and their some algebraic properties. Then, we obtain the Hermite-Hadamard integral inequality for the log semi-P-functions. After that, we obtain some new inequalities by using Hölder, Hölder-İşcan and power-mean integral inequalities and show that the result obtained with Hölder-İşcan inequality gives better approach than the Hölder integral inequality. Some applications to special means of real numbers are also given. © 2024, Erhan SET. All rights reserved.eninfo:eu-repo/semantics/closedAccessHermite-Hadamard inequalityHölder-İşcan inequalityimproved power-mean inequalityLogarithmic semi P-functionArticle8157672-s2.0-85209790736Q4