MMN-4519
Inverse trigonometrically convexity and better approximations
Huriye Kadakal; Mahir Kadakal;Abstract
In 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 Hölder-İşcan and improved power-mean integral inequalities give a better approach than Hölder and power-mean inequalities.
Vol. 26 (2025), No. 1, pp. 305-319