EXTENSIONS AND SHARPENINGS OF JORDAN'S AND KOBER'S INEQUALITIES

In this paper the authors discuss some monotonicity properties of functions involving sine and cosine, and obtain some sharp inequalities for them. These inequalities are extensions and sharpenings of the well-known Jordan’s and Kober’s inequalities.

[1]  R. Jackson Inequalities , 2007, Algebra for Parents.

[2]  G. Anderson,et al.  Conformal Invariants, Inequalities, and Quasiconformal Maps , 1997 .

[3]  J. M. Thomas,et al.  Conformal Invariants. , 1926, Proceedings of the National Academy of Sciences of the United States of America.