A sequence of sharp trigonometric inequalities

• Autorzy: J. B. M. Melissen , M. El Ghami
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to prove the following sequence of sharp trigonometric inequalities. Let n ≥ 5 and 0 < x < π. Then
$(cos x/(√(n-1)))^{n-1} < (sin(√(5/n) x)/(√(5/n) x))^(3/5 n} < (cos(x/√n))ⁿ$.

Kategorie tematyczne

• 26D05: Inequalities for trigonometric functions and polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 1
• Strony: 61-64

Daty

wydano

2015

Twórcy

autor

J. B. M. Melissen

• Faculty of Electrical Engineering, Mathematics, and Computer Science, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands

autor

M. El Ghami

• Nesna University College, Institute of Teacher Education, Mathematics Section, 8700 Nesna, Norway

Identyfikatory

DOI

10.4064/cm141-1-6