A further refinement of a Jordan type inequality and its application
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摘要
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.
论文关键词:Jordan’s inequality,Taylor polynomials,Higher order derivatives,Yang Le inequality,Generalizations and sharpening of Jordan’s inequality
论文评审过程:Available online 29 August 2007.
论文官网地址:https://doi.org/10.1016/j.amc.2007.08.022