Özban, Ahmet YaşarOzban, Ahmet YasarMathematics2024-07-052024-07-05201740004-97271755-163310.1017/S00049727170001562-s2.0-85014128274https://doi.org/10.1017/S0004972717000156https://hdl.handle.net/20.500.14411/2877The Laub-Ilani inequality ['A subtle inequality', Amer. Math. Monthly 97 (1990), 65-67] states that x(x) + y(y) >= x(y) + y(x) for nonnegative real numbers x, y. We introduce and prove new trigonometric and algebraic-trigonometric inequalities of Laub-Ilani type and propose some conjectural algebraictrigonometric inequalities of similar forms.eninfo:eu-repo/semantics/closedAccessLaub-Ilani inequalityJordan's inequalityconcave functiontrigonometric inequalityalgebraic-trigonometric inequalityArticleQ39618797WOS:000410559200010