New inequalities of Huygens-type involving tangent and sine functions

Ling Zhu; Branko Malesevic

Article Details

New inequalities of Huygens-type involving tangent and sine functions

Authors:

Ling Zhu | Branko Malesevic

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 1, pp.36-61

Document Type:

Article

Publication Date:

2/2023

Document Language:

English

Document ID (Org No.):

2001283998

pISSN:

2651-477X

Keywords:

Abstract:

 Using the estimations of the even-indexed Bernoulli number and Euler number this paper established some new inequalities for the three functions 2left sin xright xleft tan xright x, left sin xright x2left tan x2right left x2right  and 2xsin xxtan x bounded by the powers of tangent function.

 Using the estimations of the even-indexed Bernoulli number and Euler number this paper established some new inequalities for the three functions 2left sin xright xleft tan xright x, left sin xright x2left tan x2right left x2right  and 2xsin xxtan x bounded by the powers of tangent function.

 Using the estimations of the even-indexed Bernoulli number and Euler number this paper established some new inequalities for the three functions 2left sin xright xleft tan xright x, left sin xright x2left tan x2right left x2right  and 2xsin xxtan x bounded by the powers of tangent function.

 Using the estimations of the even-indexed Bernoulli number and Euler number this paper established some new inequalities for the three functions 2left sin xright xleft tan xright x, left sin xright x2left tan x2right left x2right  and 2xsin xxtan x bounded by the powers of tangent function.

Article Details

New inequalities of Huygens-type involving tangent and sine functions

Authors:

Ling Zhu | Branko Malesevic

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 1, pp.36-61

Document Type:

Article

Publication Date:

2/2023

Document Language:

English

Document ID (Org No.):

2001283998

pISSN:

2651-477X

circular functions

refinements of the Huygens-type inequalities

even-indexed Bernoulli number

Euler number

circular functions

refinements of the Huygens-type inequalities

even-indexed Bernoulli number

Euler number

Issues

Article Details

Authors: Ling Zhu | Branko Malesevic

Publisher: Hacettepe University

Main Topics: Mathematical Sciences

Journal: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 1, pp.36-61

Document Type: Article

Publication Date: 2/2023

Document Language: English

Document ID (Org No.): 2001283998

pISSN: 2651-477X

Issues

Authors:

Ling Zhu | Branko Malesevic

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 1, pp.36-61

Document Type:

Article

Publication Date:

2/2023

Document Language:

English

Document ID (Org No.):

2001283998

pISSN:

2651-477X