Name
Abstract | ||
|---|---|---|
Let θ≥2 be a given real number, and a, b∈R be two parameters, and let Q(x;a,b,θ)=2π+a(πθ−(2x)θ)+b(πθ−(2x)θ)2. We determine the values a=2π−θ−1θ,b=(−π2+4+4θ)π−2θ−14θ2, which provide the best approximation: sinxx≈Q(x;2π−θ−1θ,(−π2+4+4θ)π−2θ−14θ2,θ),0<x≤π2. Furthermore, we establish a sharp Jordan’s inequality, and then apply it to improve the Yang Le inequality. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.aml.2011.09.066 | Applied Mathematics Letters |
Keywords | Field | DocType |
Jordan’s inequality,Yang Le inequality,Sharpness,Generalization,Best bounds | Mathematical analysis,Minkowski inequality,Log sum inequality,Real number,Mathematics | Journal |
Volume | Issue | ISSN |
25 | 3 | 0893-9659 |
Citations | PageRank | References |
1 | 0.37 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chao-Ping Chen | 1 | 58 | 12.24 |
| LOKENATH DEBNATH | 2 | 63 | 18.14 |