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**A further refinement of a Jordan type inequality and its application.**
*(English)*
Zbl 1142.26019

Summary: By introducing Taylor polynomials, a new sharpened and generalized version of Jordan’s inequality is established. The result is then used to obtain a substantially more refined inequality of Jordan type. Moreover, an application of the results presented here toward the improvement of the Yang Le inequality is also considered in this paper.

### MSC:

26D15 | Inequalities for sums, series and integrals |

### Keywords:

Jordan’s inequality; Taylor polynomials; higher order derivatives; Yang Le inequality; generalizations and sharpening of Jordan’s inequality
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\textit{S. Wu} and \textit{H. M. Srivastava}, Appl. Math. Comput. 197, No. 2, 914--923 (2008; Zbl 1142.26019)

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### References:

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