New inequalities of Wilker’s type for circular functions

Ling Zhu; Ling Zhu

doi:10.3934/math.2020311

AIMS Mathematics

2020, Volume 5, Issue 5: 4874-4888. doi: 10.3934/math.2020311

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Research article

New inequalities of Wilker’s type for circular functions

Ling Zhu ^,

Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, P. R. China

Received: 01 March 2020 Accepted: 22 May 2020 Published: 03 June 2020
MSC : 33B10, 26D05

In the article, we establish three new Wilker type inequalities involving tangent and sine functions by use of a double inequality for the ratio of two consecutive non-zero Bernoulli numbers.
- Wilker type inequality,
- circular function,
- tangent function,
- sine function,
- Bernoulli number
Citation: Ling Zhu. New inequalities of Wilker’s type for circular functions[J]. AIMS Mathematics, 2020, 5(5): 4874-4888. doi: 10.3934/math.2020311

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Abstract

In the article, we establish three new Wilker type inequalities involving tangent and sine functions by use of a double inequality for the ratio of two consecutive non-zero Bernoulli numbers.

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