2013/04/11 by Zhen-Hang Yang, Yang, Zhen-Hang
Mathematics · #26D05 #26E60 (Secondary) #33B10 (Primary) 26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CA #msc:26D05 #msc:26D15 #msc:26E60 #msc:33B10
paper · pdf · doi:10.48550/arxiv.1304.3180
17 pages
arxiv created 2013/04/11 · openalex publication_date 2013/04/11 · arxiv updated 2013/04/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we find some new sharp bounds for (sin x) /x, which unify and refine Jordan, Adamović-Mitrinovićand and Cusa's inequalities. As applications of main results, some new Shafer-Fink type inequalities for arc sine function and ones for certain bivariate means are established, and a simpler but more accurate estimate for sine integral is derived.