This paper demonstrates a unified generalization of Cusa-Huygens inequalities and Mitrinovic-Adamovic inequalities, showing conditions for both inequalities to hold.
In this paper, we provide a unified generalization of Cusa-Huygens and Mitrinovic-Adamovic inequalities with the parameters (?, ?, ?), and give the conditions of (?, ?, ?) such that the inequality and its reverse hold on (0, ?/2). As applications, several one-parameter generalizations of Cusa-Huygens and Mitrinovic-Adamovic inequalities will be presented, one of which solves an open problem posed by C.-P Chen and C. Mortici.
No takes yet. Share an insight, caveat, or question.
Tie‐Hong Zhao (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: