On New Generalized Mitrinović-Adamović-Type Inequalities

Yogesh J. Bagul and Wei-Shih Du ()
Additional contact information
Yogesh J. Bagul: Department of Mathematics, K. K. M. College, Manwath 431505, India
Wei-Shih Du: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824004, Taiwan

Mathematics, 2025, vol. 13, issue 7, 1-19

Abstract: In this paper, we establish new generalized Mitrinović-Adamović-type inequalities in a wider range ( 0 , π ) by using the monotonicity of certain functions. These inequalities contain sharp and tractable bounds for the function sin x x 3 . All the main results are also true in ( − π , 0 ) due to the symmetry of the curves involved.

Keywords: Mitrinović–Adamović inequality; Bernoulli numbers; Qi’s inequality; monotonicity of function; circular function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/7/1174/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/7/1174/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:7:p:1174-:d:1626796

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().