On the Conjectures of the inequalities involving generalized trigonometric and hyperbolic functions with one-parameter

In this article, we present the best possible proof of the conjectures posed by re-searchers Li Yin et al. and Riku Klen et al., along with the appropriate bounds involv-ing generalized trigonometric and hyperbolic functions. These inequalities are further generalized with the best possible bounds. Alternative proofs of the Cusa-Huygens inequality were given using particular cases.