Alternative proofs for inequalities of some trigonometric functions |
| |
| Authors: | Bai-Ni Guo Feng Qi |
| |
| Affiliation: | 1. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province 454010, China;2. Research Institute of Mathemetical Inequality Theory, Henan Polytechnic University, Jiaozuo City, Henan Province 454010, China |
| |
| Abstract: | By using an identity relating to Bernoulli's numbers and power series expansions of cotangent function and logarithms of functions involving sine function, cosine function and tangent function, four inequalities involving cotangent function, sine function, secant function and tangent function are established. |
| |
| Keywords: | inequality power series expansion tangent function secant function cosecant function sine function Bernoulli's number |
|
|
