Schur-convexity of two means defined by inverse sine and tangent functions with applications
Abstract In the work, the authors consider the Schur-convexity, the Schur-geometric convexity, and the Schur-harmonic convexity of two means defined by the inverse sine and tangent functions. They also apply these convexity properties to construct several inequalities for special means. These convexity properties correct and modify relevant results discussed in the paper [D.-S. Chen, The Schur-convexity and inequality chains of two anti-trigonometric mean, Math. Pract. Theory 50 2020, 5, 268–275].
Authors
- Hong-Ping Yin (ORCID: https://orcid.org/0000-0001-7481-0194)
- Jing-Yu Wang (ORCID: https://orcid.org/0000-0002-0368-7106)
- Xi-Min Liu
- Feng Qi (ORCID: https://orcid.org/0000-0001-6239-2968)
Institutions
- Inner Mongolia University for Nationalities (CN)
- University of Dallas (US)
- Dalian University of Technology (CN)
- Dalian University (CN)
Publication Details
- Journal
- Journal of Applied Analysis
- Published
- 2026-05-27
- DOI
- https://doi.org/10.1515/jaa-2025-0133
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Department of Science and Technology of Inner Mongolia