Abstract
The main purpose of this note is to establish an
identity which states that the function
The main purpose of this note is to establish an
identity which states that the function
G. D. Anderson, S.-L. Qiu, M. K. Vamanamurthy, and M. Vuorinen, “Generalized elliptic integrals and modular equations,” Pacific Journal of Mathematics, vol. 192, no. 1, pp. 1–37, 2000.
View at: Google Scholar | Zentralblatt MATH | MathSciNetL. Debnath and C.-J. Zhao, “New strengthened Jordan's inequality and its applications,” Applied Mathematics Letters, vol. 16, no. 4, pp. 557–560, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetA. Erdélyi, Higher Transcental Functions, Vol. I, McGraw-Hill, New York, 1953.
View at: Google ScholarA. McD. Mercer, U. Abel, and D. Caccia, “A sharpening of Jordan's inequality,” The American Mathematical Monthly, vol. 93, pp. 568–569, 1986.
View at: Google ScholarD. S. Mitrinović and P. M. Vasić, Analytic Inequalities, Springer, New York, 1970.
View at: Google Scholar | Zentralblatt MATH | MathSciNetA. Y. Özban, “A new refined form of Jordan's inequality and its applications,” Applied Mathematics Letters, vol. 19, no. 2, pp. 155–160, 2006.
View at: Google Scholar | MathSciNetS. Wu and L. Debnath, “A new generalized and sharp version of Jordan's inequality and its application to the improvement of Yang Le inequality,” Applied Mathematics Letters, vol. 19, no. 12, pp. 1378–1384, 2006.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetS. Wu and L. Debnath, “A new generalized and sharp version of Jordan's inequality and its application to the improvement of Yang Le inequality II,” to appear in Applied Mathematics Letters.
View at: Google ScholarL. Zhu, “Sharpening Jordan's inequality and the Yang Le inequality,” Applied Mathematics Letters, vol. 19, no. 3, pp. 240–243, 2006.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetL. Zhu, “Sharpening Jordan's inequality and Yang Le inequality. II,” Applied Mathematics Letters, vol. 19, no. 9, pp. 990–994, 2006.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet