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

Wu, Shanhe; Srivastava, H. M.

Appl. Math. Comput. 197, No. 2, 914-923 (2008).

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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