Kadakal, HuriyeKadakal, Mahir2026-02-282026-02-2820251787-24051787-2413https://doi.org/10.18514/MMN.2025.4519https://hdl.handle.net/20.500.12403/6139In this paper, we introduce and study the concept of inverse trigonometrically convex functions and their some algebraic properties. We prove some Hermite-Hadamard type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value is inverse trigonometrically convex. Moreover, we proved that Holder-I(center dot)s, can and improved power-mean integral inequalities give a better approach than Holder and power-mean inequalities.eninfo:eu-repo/semantics/openAccessinverse trigonometrically convexityHolder-Iscan inequalityimproved power-mean inequalityHermite-Hadamard inequalityArticle26130531910.18514/MMN.2025.45192-s2.0-105008014822Q2WOS:001545633100021Q2