A trigonometric double-inequality | Zendy

Horst Alzer | Zendy

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A trigonometric double-inequality

Author(s) -

Horst Alzer

Publication year - 2010

Publication title -

elemente der mathematik

Language(s) - English

Resource type - Journals

eISSN - 1420-8962

pISSN - 0013-6018

DOI - 10.4171/em/139

Subject(s) - sine , trigonometric functions , trigonometry , mathematics , inequality , proofs of trigonometric identities , inverse trigonometric functions , pythagorean trigonometric identity , differentiation of trigonometric functions , trigonometric integral , algebra over a field , calculus (dental) , pure mathematics , integration using euler's formula , section (typography) , mathematical analysis , computer science , geometry , medicine , dentistry , linear interpolation , polynomial , bicubic interpolation , operating system

Trigonometric functions, in particular the sine and cosine functions, play a relevant role in physics and various branches of mathematics. In view of their importance the properties of these functions have been studied intensively. Of special interest are inequalities for trigonometric functions. In his classical book Analytic Inequalities D.S. Mitrinovic dedicated a whole section to this subject. In the recent past, several authors discovered remarkable new inequalities for sine, cosine, and their relatives. Many of them appeared in the Journal of Inequalities in Pure and Applied Mathematics, in Mathematical Inequalities and Applications, and in the Journal of Inequalities and Applications.

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