Year: 2025
Type: article
Abstract: 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.
Author: Tiehong Zhao
Institution: Hangzhou Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414483183