On a conjecture of double inequality for the tangent function

Mansour Mahmoud

EN

On a conjecture of double inequality for the tangent function

Abstract

In this paper, we prove the conjecture posed by J.-L. Zhao, Q.-M. Luo, B.-N. Guo and F. Qi (Remarks on inequalities for the tangent function, Hacettepe J. Math. Stat., 41, no. 4, 499-506, 2012) about a sharp double inequality of the tangent function, which is a generalization of the Becker-Stark inequality. Also, the new double inequality is compared with the double inequality presented in [3]

Keywords

Tangent function,L’Hôpital’s rule,inequality,best constants,Concavity

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mansour Mahmoud ^* This is me

Publication Date

February 1, 2016

Submission Date

April 17, 2014

Acceptance Date

January 29, 2015

Published in Issue

Year 2016 Volume: 45 Number: 1

IZ

https://izlik.org/JA97CX36FJ

Cite

RIS / Bibtex

APA

Mahmoud, M. (2016). On a conjecture of double inequality for the tangent function. Hacettepe Journal of Mathematics and Statistics, 45(1), 43-48. https://izlik.org/JA97CX36FJ

AMA

1.Mahmoud M. On a conjecture of double inequality for the tangent function. Hacettepe Journal of Mathematics and Statistics. 2016;45(1):43-48. https://izlik.org/JA97CX36FJ

Chicago

Mahmoud, Mansour. 2016. “On a Conjecture of Double Inequality for the Tangent Function”. Hacettepe Journal of Mathematics and Statistics 45 (1): 43-48. https://izlik.org/JA97CX36FJ.

EndNote

Mahmoud M (February 1, 2016) On a conjecture of double inequality for the tangent function. Hacettepe Journal of Mathematics and Statistics 45 1 43–48.

IEEE

[1]M. Mahmoud, “On a conjecture of double inequality for the tangent function”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 1, pp. 43–48, Feb. 2016, [Online]. Available: https://izlik.org/JA97CX36FJ

ISNAD

Mahmoud, Mansour. “On a Conjecture of Double Inequality for the Tangent Function”. Hacettepe Journal of Mathematics and Statistics 45/1 (February 1, 2016): 43-48. https://izlik.org/JA97CX36FJ.

JAMA

1.Mahmoud M. On a conjecture of double inequality for the tangent function. Hacettepe Journal of Mathematics and Statistics. 2016;45:43–48.

MLA

Mahmoud, Mansour. “On a Conjecture of Double Inequality for the Tangent Function”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 1, Feb. 2016, pp. 43-48, https://izlik.org/JA97CX36FJ.

Vancouver

1.Mansour Mahmoud. On a conjecture of double inequality for the tangent function. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Feb. 1;45(1):43-8. Available from: https://izlik.org/JA97CX36FJ